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Finding the Fourth Proportional to 18,747.68, 25,872.80 and 10,364

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Solution

The fourth proportional to 18,747.68, 25,872.80 and 10,364 is: 14,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,747.68 : 25,872.80 = 10,364 : x
  2. Step 2: Convert to fraction form
    18,747.68/25,872.80 = 10,364/x
  3. Step 3: Cross multiply
    18,747.68x = 25,872.80 × 10,364
  4. Step 4: Simplify right side
    18,747.68x = 268,145,699.20
  5. Step 5: Solve for x
    x = 268,145,699.20/18,747.68
  6. Step 6: Final answer
    x = 14,302.87

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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.