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Finding the Fourth Proportional to 25,187.70, 37,810.65 and 13,523.70

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Solution

The fourth proportional to 25,187.70, 37,810.65 and 13,523.70 is: 20,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.70 : 37,810.65 = 13,523.70 : x
  2. Step 2: Convert to fraction form
    25,187.70/37,810.65 = 13,523.70/x
  3. Step 3: Cross multiply
    25,187.70x = 37,810.65 × 13,523.70
  4. Step 4: Simplify right side
    25,187.70x = 511,339,887.41
  5. Step 5: Solve for x
    x = 511,339,887.41/25,187.70
  6. Step 6: Final answer
    x = 20,301.17

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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.