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Finding the Fourth Proportional to 17,765.59, 24,516.13 and 9,698.97

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Solution

The fourth proportional to 17,765.59, 24,516.13 and 9,698.97 is: 13,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.59 : 24,516.13 = 9,698.97 : x
  2. Step 2: Convert to fraction form
    17,765.59/24,516.13 = 9,698.97/x
  3. Step 3: Cross multiply
    17,765.59x = 24,516.13 × 9,698.97
  4. Step 4: Simplify right side
    17,765.59x = 237,781,209.39
  5. Step 5: Solve for x
    x = 237,781,209.39/17,765.59
  6. Step 6: Final answer
    x = 13,384.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.