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Finding the Fourth Proportional to 16,497.53, 22,767.13 and 9,327.66

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Solution

The fourth proportional to 16,497.53, 22,767.13 and 9,327.66 is: 12,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.53 : 22,767.13 = 9,327.66 : x
  2. Step 2: Convert to fraction form
    16,497.53/22,767.13 = 9,327.66/x
  3. Step 3: Cross multiply
    16,497.53x = 22,767.13 × 9,327.66
  4. Step 4: Simplify right side
    16,497.53x = 212,364,059.48
  5. Step 5: Solve for x
    x = 212,364,059.48/16,497.53
  6. Step 6: Final answer
    x = 12,872.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.