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Finding the Fourth Proportional to 24,401.80, 36,608.70 and 6,871.40

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Solution

The fourth proportional to 24,401.80, 36,608.70 and 6,871.40 is: 10,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.80 : 36,608.70 = 6,871.40 : x
  2. Step 2: Convert to fraction form
    24,401.80/36,608.70 = 6,871.40/x
  3. Step 3: Cross multiply
    24,401.80x = 36,608.70 × 6,871.40
  4. Step 4: Simplify right side
    24,401.80x = 251,553,021.18
  5. Step 5: Solve for x
    x = 251,553,021.18/24,401.80
  6. Step 6: Final answer
    x = 10,308.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.