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Finding the Fourth Proportional to 16,078.14, 24,117.03 and 5,687.46

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Solution

The fourth proportional to 16,078.14, 24,117.03 and 5,687.46 is: 8,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.14 : 24,117.03 = 5,687.46 : x
  2. Step 2: Convert to fraction form
    16,078.14/24,117.03 = 5,687.46/x
  3. Step 3: Cross multiply
    16,078.14x = 24,117.03 × 5,687.46
  4. Step 4: Simplify right side
    16,078.14x = 137,164,643.44
  5. Step 5: Solve for x
    x = 137,164,643.44/16,078.14
  6. Step 6: Final answer
    x = 8,531.13

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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.