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Finding the Fourth Proportional to 24,471, 36,706.86 and 6,003

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Solution

The fourth proportional to 24,471, 36,706.86 and 6,003 is: 9,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471 : 36,706.86 = 6,003 : x
  2. Step 2: Convert to fraction form
    24,471/36,706.86 = 6,003/x
  3. Step 3: Cross multiply
    24,471x = 36,706.86 × 6,003
  4. Step 4: Simplify right side
    24,471x = 220,351,280.58
  5. Step 5: Solve for x
    x = 220,351,280.58/24,471
  6. Step 6: Final answer
    x = 9,004.59

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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.