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Finding the Fourth Proportional to 15,152.92, 22,730.84 and 5,164.70

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Solution

The fourth proportional to 15,152.92, 22,730.84 and 5,164.70 is: 7,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.92 : 22,730.84 = 5,164.70 : x
  2. Step 2: Convert to fraction form
    15,152.92/22,730.84 = 5,164.70/x
  3. Step 3: Cross multiply
    15,152.92x = 22,730.84 × 5,164.70
  4. Step 4: Simplify right side
    15,152.92x = 117,398,039.09
  5. Step 5: Solve for x
    x = 117,398,039.09/15,152.92
  6. Step 6: Final answer
    x = 7,747.55

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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.