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Finding the Fourth Proportional to 16,187.66, 24,287.34 and 5,659.24

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Solution

The fourth proportional to 16,187.66, 24,287.34 and 5,659.24 is: 8,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.66 : 24,287.34 = 5,659.24 : x
  2. Step 2: Convert to fraction form
    16,187.66/24,287.34 = 5,659.24/x
  3. Step 3: Cross multiply
    16,187.66x = 24,287.34 × 5,659.24
  4. Step 4: Simplify right side
    16,187.66x = 137,447,886.02
  5. Step 5: Solve for x
    x = 137,447,886.02/16,187.66
  6. Step 6: Final answer
    x = 8,490.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.