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Finding the Fourth Proportional to 16,225.97, 22,391.87 and 9,152.42

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Solution

The fourth proportional to 16,225.97, 22,391.87 and 9,152.42 is: 12,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.97 : 22,391.87 = 9,152.42 : x
  2. Step 2: Convert to fraction form
    16,225.97/22,391.87 = 9,152.42/x
  3. Step 3: Cross multiply
    16,225.97x = 22,391.87 × 9,152.42
  4. Step 4: Simplify right side
    16,225.97x = 204,939,641.10
  5. Step 5: Solve for x
    x = 204,939,641.10/16,225.97
  6. Step 6: Final answer
    x = 12,630.35

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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.