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Finding the Fourth Proportional to 16,531.50, 24,797.39 and 6,143.25

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Solution

The fourth proportional to 16,531.50, 24,797.39 and 6,143.25 is: 9,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.50 : 24,797.39 = 6,143.25 : x
  2. Step 2: Convert to fraction form
    16,531.50/24,797.39 = 6,143.25/x
  3. Step 3: Cross multiply
    16,531.50x = 24,797.39 × 6,143.25
  4. Step 4: Simplify right side
    16,531.50x = 152,336,535.40
  5. Step 5: Solve for x
    x = 152,336,535.40/16,531.50
  6. Step 6: Final answer
    x = 9,214.93

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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.