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Finding the Fourth Proportional to 24,649.60, 36,946.65 and 12,143.14

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Solution

The fourth proportional to 24,649.60, 36,946.65 and 12,143.14 is: 18,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.60 : 36,946.65 = 12,143.14 : x
  2. Step 2: Convert to fraction form
    24,649.60/36,946.65 = 12,143.14/x
  3. Step 3: Cross multiply
    24,649.60x = 36,946.65 × 12,143.14
  4. Step 4: Simplify right side
    24,649.60x = 448,648,343.48
  5. Step 5: Solve for x
    x = 448,648,343.48/24,649.60
  6. Step 6: Final answer
    x = 18,201.04

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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.