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Finding the Fourth Proportional to 12,423.12, 18,637.92 and 4,632

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Solution

The fourth proportional to 12,423.12, 18,637.92 and 4,632 is: 6,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.12 : 18,637.92 = 4,632 : x
  2. Step 2: Convert to fraction form
    12,423.12/18,637.92 = 4,632/x
  3. Step 3: Cross multiply
    12,423.12x = 18,637.92 × 4,632
  4. Step 4: Simplify right side
    12,423.12x = 86,330,845.44
  5. Step 5: Solve for x
    x = 86,330,845.44/12,423.12
  6. Step 6: Final answer
    x = 6,949.21

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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.