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Finding the Fourth Proportional to 24,398, 36,597.02 and 6,867.83

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Solution

The fourth proportional to 24,398, 36,597.02 and 6,867.83 is: 10,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398 : 36,597.02 = 6,867.83 : x
  2. Step 2: Convert to fraction form
    24,398/36,597.02 = 6,867.83/x
  3. Step 3: Cross multiply
    24,398x = 36,597.02 × 6,867.83
  4. Step 4: Simplify right side
    24,398x = 251,342,111.87
  5. Step 5: Solve for x
    x = 251,342,111.87/24,398
  6. Step 6: Final answer
    x = 10,301.75

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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.