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Finding the Fourth Proportional to 16,530.56, 22,812.16 and 9,456.64

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Solution

The fourth proportional to 16,530.56, 22,812.16 and 9,456.64 is: 13,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.56 : 22,812.16 = 9,456.64 : x
  2. Step 2: Convert to fraction form
    16,530.56/22,812.16 = 9,456.64/x
  3. Step 3: Cross multiply
    16,530.56x = 22,812.16 × 9,456.64
  4. Step 4: Simplify right side
    16,530.56x = 215,726,384.74
  5. Step 5: Solve for x
    x = 215,726,384.74/16,530.56
  6. Step 6: Final answer
    x = 13,050.16

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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.