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Finding the Fourth Proportional to 16,617.68, 22,932.62 and 9,544.76

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Solution

The fourth proportional to 16,617.68, 22,932.62 and 9,544.76 is: 13,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.68 : 22,932.62 = 9,544.76 : x
  2. Step 2: Convert to fraction form
    16,617.68/22,932.62 = 9,544.76/x
  3. Step 3: Cross multiply
    16,617.68x = 22,932.62 × 9,544.76
  4. Step 4: Simplify right side
    16,617.68x = 218,886,354.07
  5. Step 5: Solve for x
    x = 218,886,354.07/16,617.68
  6. Step 6: Final answer
    x = 13,171.90

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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.