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Finding the Fourth Proportional to 16,350.75, 24,537.01 and 5,962.50

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Solution

The fourth proportional to 16,350.75, 24,537.01 and 5,962.50 is: 8,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.75 : 24,537.01 = 5,962.50 : x
  2. Step 2: Convert to fraction form
    16,350.75/24,537.01 = 5,962.50/x
  3. Step 3: Cross multiply
    16,350.75x = 24,537.01 × 5,962.50
  4. Step 4: Simplify right side
    16,350.75x = 146,301,922.13
  5. Step 5: Solve for x
    x = 146,301,922.13/16,350.75
  6. Step 6: Final answer
    x = 8,947.72

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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.