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Finding the Fourth Proportional to 16,455.27, 22,707.86 and 9,741

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Solution

The fourth proportional to 16,455.27, 22,707.86 and 9,741 is: 13,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.27 : 22,707.86 = 9,741 : x
  2. Step 2: Convert to fraction form
    16,455.27/22,707.86 = 9,741/x
  3. Step 3: Cross multiply
    16,455.27x = 22,707.86 × 9,741
  4. Step 4: Simplify right side
    16,455.27x = 221,197,215.56
  5. Step 5: Solve for x
    x = 221,197,215.56/16,455.27
  6. Step 6: Final answer
    x = 13,442.33

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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.