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Finding the Fourth Proportional to 24,360, 36,541.20 and 7,944

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Solution

The fourth proportional to 24,360, 36,541.20 and 7,944 is: 11,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 36,541.20 = 7,944 : x
  2. Step 2: Convert to fraction form
    24,360/36,541.20 = 7,944/x
  3. Step 3: Cross multiply
    24,360x = 36,541.20 × 7,944
  4. Step 4: Simplify right side
    24,360x = 290,283,292.80
  5. Step 5: Solve for x
    x = 290,283,292.80/24,360
  6. Step 6: Final answer
    x = 11,916.39

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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.