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Finding the Fourth Proportional to 24,398.70, 36,597.87 and 6,868.14

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Solution

The fourth proportional to 24,398.70, 36,597.87 and 6,868.14 is: 10,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.70 : 36,597.87 = 6,868.14 : x
  2. Step 2: Convert to fraction form
    24,398.70/36,597.87 = 6,868.14/x
  3. Step 3: Cross multiply
    24,398.70x = 36,597.87 × 6,868.14
  4. Step 4: Simplify right side
    24,398.70x = 251,359,294.86
  5. Step 5: Solve for x
    x = 251,359,294.86/24,398.70
  6. Step 6: Final answer
    x = 10,302.16

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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.