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Finding the Fourth Proportional to 16,044.16, 22,147.68 and 9,758.72

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Solution

The fourth proportional to 16,044.16, 22,147.68 and 9,758.72 is: 13,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.16 : 22,147.68 = 9,758.72 : x
  2. Step 2: Convert to fraction form
    16,044.16/22,147.68 = 9,758.72/x
  3. Step 3: Cross multiply
    16,044.16x = 22,147.68 × 9,758.72
  4. Step 4: Simplify right side
    16,044.16x = 216,133,007.77
  5. Step 5: Solve for x
    x = 216,133,007.77/16,044.16
  6. Step 6: Final answer
    x = 13,471.13

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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.