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Finding the Fourth Proportional to 24,799.89, 37,200.03 and 9,217.50

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Solution

The fourth proportional to 24,799.89, 37,200.03 and 9,217.50 is: 13,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799.89 : 37,200.03 = 9,217.50 : x
  2. Step 2: Convert to fraction form
    24,799.89/37,200.03 = 9,217.50/x
  3. Step 3: Cross multiply
    24,799.89x = 37,200.03 × 9,217.50
  4. Step 4: Simplify right side
    24,799.89x = 342,891,276.53
  5. Step 5: Solve for x
    x = 342,891,276.53/24,799.89
  6. Step 6: Final answer
    x = 13,826.32

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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.