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Finding the Fourth Proportional to 22,886.70, 34,351.65 and 14,138.70

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Solution

The fourth proportional to 22,886.70, 34,351.65 and 14,138.70 is: 21,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.70 : 34,351.65 = 14,138.70 : x
  2. Step 2: Convert to fraction form
    22,886.70/34,351.65 = 14,138.70/x
  3. Step 3: Cross multiply
    22,886.70x = 34,351.65 × 14,138.70
  4. Step 4: Simplify right side
    22,886.70x = 485,687,673.86
  5. Step 5: Solve for x
    x = 485,687,673.86/22,886.70
  6. Step 6: Final answer
    x = 21,221.39

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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.