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Finding the Fourth Proportional to 22,711.76, 31,338.73 and 14,209.78

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Solution

The fourth proportional to 22,711.76, 31,338.73 and 14,209.78 is: 19,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.76 : 31,338.73 = 14,209.78 : x
  2. Step 2: Convert to fraction form
    22,711.76/31,338.73 = 14,209.78/x
  3. Step 3: Cross multiply
    22,711.76x = 31,338.73 × 14,209.78
  4. Step 4: Simplify right side
    22,711.76x = 445,316,458.78
  5. Step 5: Solve for x
    x = 445,316,458.78/22,711.76
  6. Step 6: Final answer
    x = 19,607.31

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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.