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Finding the Fourth Proportional to 15,200.19, 22,802.57 and 5,337.73

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Solution

The fourth proportional to 15,200.19, 22,802.57 and 5,337.73 is: 8,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.19 : 22,802.57 = 5,337.73 : x
  2. Step 2: Convert to fraction form
    15,200.19/22,802.57 = 5,337.73/x
  3. Step 3: Cross multiply
    15,200.19x = 22,802.57 × 5,337.73
  4. Step 4: Simplify right side
    15,200.19x = 121,713,961.97
  5. Step 5: Solve for x
    x = 121,713,961.97/15,200.19
  6. Step 6: Final answer
    x = 8,007.40

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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.