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Finding the Fourth Proportional to 13,872.74, 20,809.96 and 5,113.76

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Solution

The fourth proportional to 13,872.74, 20,809.96 and 5,113.76 is: 7,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.74 : 20,809.96 = 5,113.76 : x
  2. Step 2: Convert to fraction form
    13,872.74/20,809.96 = 5,113.76/x
  3. Step 3: Cross multiply
    13,872.74x = 20,809.96 × 5,113.76
  4. Step 4: Simplify right side
    13,872.74x = 106,417,141.05
  5. Step 5: Solve for x
    x = 106,417,141.05/13,872.74
  6. Step 6: Final answer
    x = 7,670.95

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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.