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Finding the Fourth Proportional to 14,691.63, 22,022.94 and 9,411.66

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Solution

The fourth proportional to 14,691.63, 22,022.94 and 9,411.66 is: 14,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.63 : 22,022.94 = 9,411.66 : x
  2. Step 2: Convert to fraction form
    14,691.63/22,022.94 = 9,411.66/x
  3. Step 3: Cross multiply
    14,691.63x = 22,022.94 × 9,411.66
  4. Step 4: Simplify right side
    14,691.63x = 207,272,423.48
  5. Step 5: Solve for x
    x = 207,272,423.48/14,691.63
  6. Step 6: Final answer
    x = 14,108.20

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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.