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Finding the Fourth Proportional to 16,323.92, 22,532.13 and 9,255.05

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Solution

The fourth proportional to 16,323.92, 22,532.13 and 9,255.05 is: 12,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.92 : 22,532.13 = 9,255.05 : x
  2. Step 2: Convert to fraction form
    16,323.92/22,532.13 = 9,255.05/x
  3. Step 3: Cross multiply
    16,323.92x = 22,532.13 × 9,255.05
  4. Step 4: Simplify right side
    16,323.92x = 208,535,877.10
  5. Step 5: Solve for x
    x = 208,535,877.10/16,323.92
  6. Step 6: Final answer
    x = 12,774.87

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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.