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Finding the Fourth Proportional to 16,328.92, 22,534.17 and 9,255.19

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Solution

The fourth proportional to 16,328.92, 22,534.17 and 9,255.19 is: 12,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.92 : 22,534.17 = 9,255.19 : x
  2. Step 2: Convert to fraction form
    16,328.92/22,534.17 = 9,255.19/x
  3. Step 3: Cross multiply
    16,328.92x = 22,534.17 × 9,255.19
  4. Step 4: Simplify right side
    16,328.92x = 208,558,024.84
  5. Step 5: Solve for x
    x = 208,558,024.84/16,328.92
  6. Step 6: Final answer
    x = 12,772.31

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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.