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Finding the Fourth Proportional to 15,267.60, 22,904.10 and 5,412.60

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Solution

The fourth proportional to 15,267.60, 22,904.10 and 5,412.60 is: 8,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,267.60 : 22,904.10 = 5,412.60 : x
  2. Step 2: Convert to fraction form
    15,267.60/22,904.10 = 5,412.60/x
  3. Step 3: Cross multiply
    15,267.60x = 22,904.10 × 5,412.60
  4. Step 4: Simplify right side
    15,267.60x = 123,970,731.66
  5. Step 5: Solve for x
    x = 123,970,731.66/15,267.60
  6. Step 6: Final answer
    x = 8,119.86

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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.