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Finding the Fourth Proportional to 15,738.40, 23,564.40 and 12,282.40

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Solution

The fourth proportional to 15,738.40, 23,564.40 and 12,282.40 is: 18,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.40 : 23,564.40 = 12,282.40 : x
  2. Step 2: Convert to fraction form
    15,738.40/23,564.40 = 12,282.40/x
  3. Step 3: Cross multiply
    15,738.40x = 23,564.40 × 12,282.40
  4. Step 4: Simplify right side
    15,738.40x = 289,427,386.56
  5. Step 5: Solve for x
    x = 289,427,386.56/15,738.40
  6. Step 6: Final answer
    x = 18,389.89

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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.