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Finding the Fourth Proportional to 22,711.80, 31,341.06 and 13,150.02

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Solution

The fourth proportional to 22,711.80, 31,341.06 and 13,150.02 is: 18,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.80 : 31,341.06 = 13,150.02 : x
  2. Step 2: Convert to fraction form
    22,711.80/31,341.06 = 13,150.02/x
  3. Step 3: Cross multiply
    22,711.80x = 31,341.06 × 13,150.02
  4. Step 4: Simplify right side
    22,711.80x = 412,135,565.82
  5. Step 5: Solve for x
    x = 412,135,565.82/22,711.80
  6. Step 6: Final answer
    x = 18,146.32

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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.