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Finding the Fourth Proportional to 16,146.65, 22,285.05 and 9,432.26

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Solution

The fourth proportional to 16,146.65, 22,285.05 and 9,432.26 is: 13,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.65 : 22,285.05 = 9,432.26 : x
  2. Step 2: Convert to fraction form
    16,146.65/22,285.05 = 9,432.26/x
  3. Step 3: Cross multiply
    16,146.65x = 22,285.05 × 9,432.26
  4. Step 4: Simplify right side
    16,146.65x = 210,198,385.71
  5. Step 5: Solve for x
    x = 210,198,385.71/16,146.65
  6. Step 6: Final answer
    x = 13,018.08

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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.