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Finding the Fourth Proportional to 24,648.60, 36,945.15 and 12,142.14

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Solution

The fourth proportional to 24,648.60, 36,945.15 and 12,142.14 is: 18,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648.60 : 36,945.15 = 12,142.14 : x
  2. Step 2: Convert to fraction form
    24,648.60/36,945.15 = 12,142.14/x
  3. Step 3: Cross multiply
    24,648.60x = 36,945.15 × 12,142.14
  4. Step 4: Simplify right side
    24,648.60x = 448,592,999.54
  5. Step 5: Solve for x
    x = 448,592,999.54/24,648.60
  6. Step 6: Final answer
    x = 18,199.53

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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.