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Finding the Fourth Proportional to 16,172.80, 22,319.76 and 9,098.80

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Solution

The fourth proportional to 16,172.80, 22,319.76 and 9,098.80 is: 12,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.80 : 22,319.76 = 9,098.80 : x
  2. Step 2: Convert to fraction form
    16,172.80/22,319.76 = 9,098.80/x
  3. Step 3: Cross multiply
    16,172.80x = 22,319.76 × 9,098.80
  4. Step 4: Simplify right side
    16,172.80x = 203,083,032.29
  5. Step 5: Solve for x
    x = 203,083,032.29/16,172.80
  6. Step 6: Final answer
    x = 12,557.07

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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.