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Finding the Fourth Proportional to 16,551.76, 22,833.64 and 9,474.16

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Solution

The fourth proportional to 16,551.76, 22,833.64 and 9,474.16 is: 13,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551.76 : 22,833.64 = 9,474.16 : x
  2. Step 2: Convert to fraction form
    16,551.76/22,833.64 = 9,474.16/x
  3. Step 3: Cross multiply
    16,551.76x = 22,833.64 × 9,474.16
  4. Step 4: Simplify right side
    16,551.76x = 216,329,558.74
  5. Step 5: Solve for x
    x = 216,329,558.74/16,551.76
  6. Step 6: Final answer
    x = 13,069.88

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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.