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Finding the Fourth Proportional to 15,074.64, 22,612.15 and 5,712.14

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Solution

The fourth proportional to 15,074.64, 22,612.15 and 5,712.14 is: 8,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.64 : 22,612.15 = 5,712.14 : x
  2. Step 2: Convert to fraction form
    15,074.64/22,612.15 = 5,712.14/x
  3. Step 3: Cross multiply
    15,074.64x = 22,612.15 × 5,712.14
  4. Step 4: Simplify right side
    15,074.64x = 129,163,766.50
  5. Step 5: Solve for x
    x = 129,163,766.50/15,074.64
  6. Step 6: Final answer
    x = 8,568.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.