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Finding the Fourth Proportional to 15,201.98, 22,802.11 and 4,107.84

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Solution

The fourth proportional to 15,201.98, 22,802.11 and 4,107.84 is: 6,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.98 : 22,802.11 = 4,107.84 : x
  2. Step 2: Convert to fraction form
    15,201.98/22,802.11 = 4,107.84/x
  3. Step 3: Cross multiply
    15,201.98x = 22,802.11 × 4,107.84
  4. Step 4: Simplify right side
    15,201.98x = 93,667,323.76
  5. Step 5: Solve for x
    x = 93,667,323.76/15,201.98
  6. Step 6: Final answer
    x = 6,161.52

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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.