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Finding the Fourth Proportional to 13,500.98, 20,251.31 and 4,616.22

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Solution

The fourth proportional to 13,500.98, 20,251.31 and 4,616.22 is: 6,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.98 : 20,251.31 = 4,616.22 : x
  2. Step 2: Convert to fraction form
    13,500.98/20,251.31 = 4,616.22/x
  3. Step 3: Cross multiply
    13,500.98x = 20,251.31 × 4,616.22
  4. Step 4: Simplify right side
    13,500.98x = 93,484,479.17
  5. Step 5: Solve for x
    x = 93,484,479.17/13,500.98
  6. Step 6: Final answer
    x = 6,924.28

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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.