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Finding the Fourth Proportional to 14,574.52, 20,112.96 and 8,200.90

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Solution

The fourth proportional to 14,574.52, 20,112.96 and 8,200.90 is: 11,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.52 : 20,112.96 = 8,200.90 : x
  2. Step 2: Convert to fraction form
    14,574.52/20,112.96 = 8,200.90/x
  3. Step 3: Cross multiply
    14,574.52x = 20,112.96 × 8,200.90
  4. Step 4: Simplify right side
    14,574.52x = 164,944,373.66
  5. Step 5: Solve for x
    x = 164,944,373.66/14,574.52
  6. Step 6: Final answer
    x = 11,317.31

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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.