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Finding the Fourth Proportional to 16,232.74, 22,399.95 and 9,159.82

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Solution

The fourth proportional to 16,232.74, 22,399.95 and 9,159.82 is: 12,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.74 : 22,399.95 = 9,159.82 : x
  2. Step 2: Convert to fraction form
    16,232.74/22,399.95 = 9,159.82/x
  3. Step 3: Cross multiply
    16,232.74x = 22,399.95 × 9,159.82
  4. Step 4: Simplify right side
    16,232.74x = 205,179,510.01
  5. Step 5: Solve for x
    x = 205,179,510.01/16,232.74
  6. Step 6: Final answer
    x = 12,639.86

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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.