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Finding the Fourth Proportional to 16,151.72, 22,288.52 and 9,077.68

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Solution

The fourth proportional to 16,151.72, 22,288.52 and 9,077.68 is: 12,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.72 : 22,288.52 = 9,077.68 : x
  2. Step 2: Convert to fraction form
    16,151.72/22,288.52 = 9,077.68/x
  3. Step 3: Cross multiply
    16,151.72x = 22,288.52 × 9,077.68
  4. Step 4: Simplify right side
    16,151.72x = 202,328,052.23
  5. Step 5: Solve for x
    x = 202,328,052.23/16,151.72
  6. Step 6: Final answer
    x = 12,526.72

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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.