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Finding the Fourth Proportional to 24,116.31, 36,178.74 and 9,324

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Solution

The fourth proportional to 24,116.31, 36,178.74 and 9,324 is: 13,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.31 : 36,178.74 = 9,324 : x
  2. Step 2: Convert to fraction form
    24,116.31/36,178.74 = 9,324/x
  3. Step 3: Cross multiply
    24,116.31x = 36,178.74 × 9,324
  4. Step 4: Simplify right side
    24,116.31x = 337,330,571.76
  5. Step 5: Solve for x
    x = 337,330,571.76/24,116.31
  6. Step 6: Final answer
    x = 13,987.65

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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.