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Finding the Fourth Proportional to 14,542.76, 21,827.10 and 9,929

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Solution

The fourth proportional to 14,542.76, 21,827.10 and 9,929 is: 14,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.76 : 21,827.10 = 9,929 : x
  2. Step 2: Convert to fraction form
    14,542.76/21,827.10 = 9,929/x
  3. Step 3: Cross multiply
    14,542.76x = 21,827.10 × 9,929
  4. Step 4: Simplify right side
    14,542.76x = 216,721,275.90
  5. Step 5: Solve for x
    x = 216,721,275.90/14,542.76
  6. Step 6: Final answer
    x = 14,902.35

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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.