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Finding the Fourth Proportional to 16,275.65, 22,462.05 and 9,562.17

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Solution

The fourth proportional to 16,275.65, 22,462.05 and 9,562.17 is: 13,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.65 : 22,462.05 = 9,562.17 : x
  2. Step 2: Convert to fraction form
    16,275.65/22,462.05 = 9,562.17/x
  3. Step 3: Cross multiply
    16,275.65x = 22,462.05 × 9,562.17
  4. Step 4: Simplify right side
    16,275.65x = 214,785,940.65
  5. Step 5: Solve for x
    x = 214,785,940.65/16,275.65
  6. Step 6: Final answer
    x = 13,196.77

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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.