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Finding the Fourth Proportional to 24,486, 36,728.90 and 6,955.84

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Solution

The fourth proportional to 24,486, 36,728.90 and 6,955.84 is: 10,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486 : 36,728.90 = 6,955.84 : x
  2. Step 2: Convert to fraction form
    24,486/36,728.90 = 6,955.84/x
  3. Step 3: Cross multiply
    24,486x = 36,728.90 × 6,955.84
  4. Step 4: Simplify right side
    24,486x = 255,480,351.78
  5. Step 5: Solve for x
    x = 255,480,351.78/24,486
  6. Step 6: Final answer
    x = 10,433.73

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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.