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Finding the Fourth Proportional to 16,532.56, 22,816.80 and 9,460

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Solution

The fourth proportional to 16,532.56, 22,816.80 and 9,460 is: 13,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.56 : 22,816.80 = 9,460 : x
  2. Step 2: Convert to fraction form
    16,532.56/22,816.80 = 9,460/x
  3. Step 3: Cross multiply
    16,532.56x = 22,816.80 × 9,460
  4. Step 4: Simplify right side
    16,532.56x = 215,846,928
  5. Step 5: Solve for x
    x = 215,846,928/16,532.56
  6. Step 6: Final answer
    x = 13,055.87

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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.