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Finding the Fourth Proportional to 12,301.68, 18,452.37 and 3,981.50

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Solution

The fourth proportional to 12,301.68, 18,452.37 and 3,981.50 is: 5,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.68 : 18,452.37 = 3,981.50 : x
  2. Step 2: Convert to fraction form
    12,301.68/18,452.37 = 3,981.50/x
  3. Step 3: Cross multiply
    12,301.68x = 18,452.37 × 3,981.50
  4. Step 4: Simplify right side
    12,301.68x = 73,468,111.16
  5. Step 5: Solve for x
    x = 73,468,111.16/12,301.68
  6. Step 6: Final answer
    x = 5,972.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.