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Finding the Fourth Proportional to 14,687.84, 22,042.74 and 9,149.24

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Solution

The fourth proportional to 14,687.84, 22,042.74 and 9,149.24 is: 13,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.84 : 22,042.74 = 9,149.24 : x
  2. Step 2: Convert to fraction form
    14,687.84/22,042.74 = 9,149.24/x
  3. Step 3: Cross multiply
    14,687.84x = 22,042.74 × 9,149.24
  4. Step 4: Simplify right side
    14,687.84x = 201,674,318.52
  5. Step 5: Solve for x
    x = 201,674,318.52/14,687.84
  6. Step 6: Final answer
    x = 13,730.70

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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.