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Finding the Fourth Proportional to 16,552.20, 22,842.04 and 9,478.56

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Solution

The fourth proportional to 16,552.20, 22,842.04 and 9,478.56 is: 13,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.20 : 22,842.04 = 9,478.56 : x
  2. Step 2: Convert to fraction form
    16,552.20/22,842.04 = 9,478.56/x
  3. Step 3: Cross multiply
    16,552.20x = 22,842.04 × 9,478.56
  4. Step 4: Simplify right side
    16,552.20x = 216,509,646.66
  5. Step 5: Solve for x
    x = 216,509,646.66/16,552.20
  6. Step 6: Final answer
    x = 13,080.42

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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.