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Finding the Fourth Proportional to 15,321.60, 22,984.56 and 4,932

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Solution

The fourth proportional to 15,321.60, 22,984.56 and 4,932 is: 7,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,321.60 : 22,984.56 = 4,932 : x
  2. Step 2: Convert to fraction form
    15,321.60/22,984.56 = 4,932/x
  3. Step 3: Cross multiply
    15,321.60x = 22,984.56 × 4,932
  4. Step 4: Simplify right side
    15,321.60x = 113,359,849.92
  5. Step 5: Solve for x
    x = 113,359,849.92/15,321.60
  6. Step 6: Final answer
    x = 7,398.70

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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.