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Finding the Fourth Proportional to 15,294.78, 22,945.48 and 4,764.58

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Solution

The fourth proportional to 15,294.78, 22,945.48 and 4,764.58 is: 7,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.78 : 22,945.48 = 4,764.58 : x
  2. Step 2: Convert to fraction form
    15,294.78/22,945.48 = 4,764.58/x
  3. Step 3: Cross multiply
    15,294.78x = 22,945.48 × 4,764.58
  4. Step 4: Simplify right side
    15,294.78x = 109,325,575.10
  5. Step 5: Solve for x
    x = 109,325,575.10/15,294.78
  6. Step 6: Final answer
    x = 7,147.90

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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.