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Finding the Fourth Proportional to 23,290.71, 34,931.17 and 7,497.16

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Solution

The fourth proportional to 23,290.71, 34,931.17 and 7,497.16 is: 11,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290.71 : 34,931.17 = 7,497.16 : x
  2. Step 2: Convert to fraction form
    23,290.71/34,931.17 = 7,497.16/x
  3. Step 3: Cross multiply
    23,290.71x = 34,931.17 × 7,497.16
  4. Step 4: Simplify right side
    23,290.71x = 261,884,513.61
  5. Step 5: Solve for x
    x = 261,884,513.61/23,290.71
  6. Step 6: Final answer
    x = 11,244.16

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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.