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Finding the Fourth Proportional to 28,542.60, 42,802.84 and 9,819.08

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Solution

The fourth proportional to 28,542.60, 42,802.84 and 9,819.08 is: 14,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.60 : 42,802.84 = 9,819.08 : x
  2. Step 2: Convert to fraction form
    28,542.60/42,802.84 = 9,819.08/x
  3. Step 3: Cross multiply
    28,542.60x = 42,802.84 × 9,819.08
  4. Step 4: Simplify right side
    28,542.60x = 420,284,510.19
  5. Step 5: Solve for x
    x = 420,284,510.19/28,542.60
  6. Step 6: Final answer
    x = 14,724.82

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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.