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Finding the Fourth Proportional to 24,593.40, 36,885.30 and 8,177.40

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Solution

The fourth proportional to 24,593.40, 36,885.30 and 8,177.40 is: 12,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.40 : 36,885.30 = 8,177.40 : x
  2. Step 2: Convert to fraction form
    24,593.40/36,885.30 = 8,177.40/x
  3. Step 3: Cross multiply
    24,593.40x = 36,885.30 × 8,177.40
  4. Step 4: Simplify right side
    24,593.40x = 301,625,852.22
  5. Step 5: Solve for x
    x = 301,625,852.22/24,593.40
  6. Step 6: Final answer
    x = 12,264.50

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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.