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Finding the Fourth Proportional to 13,115.70, 19,673.55 and 10,523.70

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Solution

The fourth proportional to 13,115.70, 19,673.55 and 10,523.70 is: 15,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.70 : 19,673.55 = 10,523.70 : x
  2. Step 2: Convert to fraction form
    13,115.70/19,673.55 = 10,523.70/x
  3. Step 3: Cross multiply
    13,115.70x = 19,673.55 × 10,523.70
  4. Step 4: Simplify right side
    13,115.70x = 207,038,538.14
  5. Step 5: Solve for x
    x = 207,038,538.14/13,115.70
  6. Step 6: Final answer
    x = 15,785.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.