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Finding the Fourth Proportional to 15,164.34, 22,741.92 and 5,301.78

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Solution

The fourth proportional to 15,164.34, 22,741.92 and 5,301.78 is: 7,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.34 : 22,741.92 = 5,301.78 : x
  2. Step 2: Convert to fraction form
    15,164.34/22,741.92 = 5,301.78/x
  3. Step 3: Cross multiply
    15,164.34x = 22,741.92 × 5,301.78
  4. Step 4: Simplify right side
    15,164.34x = 120,572,656.62
  5. Step 5: Solve for x
    x = 120,572,656.62/15,164.34
  6. Step 6: Final answer
    x = 7,951.07

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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.