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Finding the Fourth Proportional to 12,589.84, 18,877.48 and 5,185.92

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Solution

The fourth proportional to 12,589.84, 18,877.48 and 5,185.92 is: 7,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.84 : 18,877.48 = 5,185.92 : x
  2. Step 2: Convert to fraction form
    12,589.84/18,877.48 = 5,185.92/x
  3. Step 3: Cross multiply
    12,589.84x = 18,877.48 × 5,185.92
  4. Step 4: Simplify right side
    12,589.84x = 97,897,101.08
  5. Step 5: Solve for x
    x = 97,897,101.08/12,589.84
  6. Step 6: Final answer
    x = 7,775.88

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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.