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Finding the Fourth Proportional to 12,614.70, 18,924.35 and 4,294.29

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Solution

The fourth proportional to 12,614.70, 18,924.35 and 4,294.29 is: 6,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.70 : 18,924.35 = 4,294.29 : x
  2. Step 2: Convert to fraction form
    12,614.70/18,924.35 = 4,294.29/x
  3. Step 3: Cross multiply
    12,614.70x = 18,924.35 × 4,294.29
  4. Step 4: Simplify right side
    12,614.70x = 81,266,625.49
  5. Step 5: Solve for x
    x = 81,266,625.49/12,614.70
  6. Step 6: Final answer
    x = 6,442.22

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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.