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Finding the Fourth Proportional to 15,229.64, 22,838.70 and 6,468.68

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Solution

The fourth proportional to 15,229.64, 22,838.70 and 6,468.68 is: 9,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.64 : 22,838.70 = 6,468.68 : x
  2. Step 2: Convert to fraction form
    15,229.64/22,838.70 = 6,468.68/x
  3. Step 3: Cross multiply
    15,229.64x = 22,838.70 × 6,468.68
  4. Step 4: Simplify right side
    15,229.64x = 147,736,241.92
  5. Step 5: Solve for x
    x = 147,736,241.92/15,229.64
  6. Step 6: Final answer
    x = 9,700.57

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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.