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Finding the Fourth Proportional to 14,756.82, 20,363.89 and 8,042.31

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Solution

The fourth proportional to 14,756.82, 20,363.89 and 8,042.31 is: 11,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.82 : 20,363.89 = 8,042.31 : x
  2. Step 2: Convert to fraction form
    14,756.82/20,363.89 = 8,042.31/x
  3. Step 3: Cross multiply
    14,756.82x = 20,363.89 × 8,042.31
  4. Step 4: Simplify right side
    14,756.82x = 163,772,716.19
  5. Step 5: Solve for x
    x = 163,772,716.19/14,756.82
  6. Step 6: Final answer
    x = 11,098.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.