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Finding the Fourth Proportional to 15,099.40, 22,641 and 5,235.76

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Solution

The fourth proportional to 15,099.40, 22,641 and 5,235.76 is: 7,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.40 : 22,641 = 5,235.76 : x
  2. Step 2: Convert to fraction form
    15,099.40/22,641 = 5,235.76/x
  3. Step 3: Cross multiply
    15,099.40x = 22,641 × 5,235.76
  4. Step 4: Simplify right side
    15,099.40x = 118,542,842.16
  5. Step 5: Solve for x
    x = 118,542,842.16/15,099.40
  6. Step 6: Final answer
    x = 7,850.83

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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.