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Finding the Fourth Proportional to 14,612.27, 21,937.85 and 7,691.63

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Solution

The fourth proportional to 14,612.27, 21,937.85 and 7,691.63 is: 11,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.27 : 21,937.85 = 7,691.63 : x
  2. Step 2: Convert to fraction form
    14,612.27/21,937.85 = 7,691.63/x
  3. Step 3: Cross multiply
    14,612.27x = 21,937.85 × 7,691.63
  4. Step 4: Simplify right side
    14,612.27x = 168,737,825.20
  5. Step 5: Solve for x
    x = 168,737,825.20/14,612.27
  6. Step 6: Final answer
    x = 11,547.68

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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.