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Finding the Fourth Proportional to 22,253.50, 30,709.86 and 13,870

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Solution

The fourth proportional to 22,253.50, 30,709.86 and 13,870 is: 19,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.50 : 30,709.86 = 13,870 : x
  2. Step 2: Convert to fraction form
    22,253.50/30,709.86 = 13,870/x
  3. Step 3: Cross multiply
    22,253.50x = 30,709.86 × 13,870
  4. Step 4: Simplify right side
    22,253.50x = 425,945,758.20
  5. Step 5: Solve for x
    x = 425,945,758.20/22,253.50
  6. Step 6: Final answer
    x = 19,140.62

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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.