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Finding the Fourth Proportional to 12,589.84, 18,883.46 and 4,269.63

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Solution

The fourth proportional to 12,589.84, 18,883.46 and 4,269.63 is: 6,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.84 : 18,883.46 = 4,269.63 : x
  2. Step 2: Convert to fraction form
    12,589.84/18,883.46 = 4,269.63/x
  3. Step 3: Cross multiply
    12,589.84x = 18,883.46 × 4,269.63
  4. Step 4: Simplify right side
    12,589.84x = 80,625,387.32
  5. Step 5: Solve for x
    x = 80,625,387.32/12,589.84
  6. Step 6: Final answer
    x = 6,404.00

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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.