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Finding the Fourth Proportional to 12,378.48, 18,567.72 and 3,614.28

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Solution

The fourth proportional to 12,378.48, 18,567.72 and 3,614.28 is: 5,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.48 : 18,567.72 = 3,614.28 : x
  2. Step 2: Convert to fraction form
    12,378.48/18,567.72 = 3,614.28/x
  3. Step 3: Cross multiply
    12,378.48x = 18,567.72 × 3,614.28
  4. Step 4: Simplify right side
    12,378.48x = 67,108,939.04
  5. Step 5: Solve for x
    x = 67,108,939.04/12,378.48
  6. Step 6: Final answer
    x = 5,421.42

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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.