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Finding the Fourth Proportional to 15,221.16, 22,833.59 and 5,358.42

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Solution

The fourth proportional to 15,221.16, 22,833.59 and 5,358.42 is: 8,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.16 : 22,833.59 = 5,358.42 : x
  2. Step 2: Convert to fraction form
    15,221.16/22,833.59 = 5,358.42/x
  3. Step 3: Cross multiply
    15,221.16x = 22,833.59 × 5,358.42
  4. Step 4: Simplify right side
    15,221.16x = 122,351,938.54
  5. Step 5: Solve for x
    x = 122,351,938.54/15,221.16
  6. Step 6: Final answer
    x = 8,038.28

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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.