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Finding the Fourth Proportional to 15,200.20, 22,802.82 and 5,336.92

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Solution

The fourth proportional to 15,200.20, 22,802.82 and 5,336.92 is: 8,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.20 : 22,802.82 = 5,336.92 : x
  2. Step 2: Convert to fraction form
    15,200.20/22,802.82 = 5,336.92/x
  3. Step 3: Cross multiply
    15,200.20x = 22,802.82 × 5,336.92
  4. Step 4: Simplify right side
    15,200.20x = 121,696,826.11
  5. Step 5: Solve for x
    x = 121,696,826.11/15,200.20
  6. Step 6: Final answer
    x = 8,006.26

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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.