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Finding the Fourth Proportional to 22,966.14, 34,455.68 and 9,124.86

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Solution

The fourth proportional to 22,966.14, 34,455.68 and 9,124.86 is: 13,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.14 : 34,455.68 = 9,124.86 : x
  2. Step 2: Convert to fraction form
    22,966.14/34,455.68 = 9,124.86/x
  3. Step 3: Cross multiply
    22,966.14x = 34,455.68 × 9,124.86
  4. Step 4: Simplify right side
    22,966.14x = 314,403,256.20
  5. Step 5: Solve for x
    x = 314,403,256.20/22,966.14
  6. Step 6: Final answer
    x = 13,689.86

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