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Finding the Fourth Proportional to 12,375.84, 18,574.92 and 5,805.84

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Solution

The fourth proportional to 12,375.84, 18,574.92 and 5,805.84 is: 8,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.84 : 18,574.92 = 5,805.84 : x
  2. Step 2: Convert to fraction form
    12,375.84/18,574.92 = 5,805.84/x
  3. Step 3: Cross multiply
    12,375.84x = 18,574.92 × 5,805.84
  4. Step 4: Simplify right side
    12,375.84x = 107,843,013.53
  5. Step 5: Solve for x
    x = 107,843,013.53/12,375.84
  6. Step 6: Final answer
    x = 8,714.00

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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.