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Finding the Fourth Proportional to 24,231.88, 36,348.54 and 6,703

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Solution

The fourth proportional to 24,231.88, 36,348.54 and 6,703 is: 10,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.88 : 36,348.54 = 6,703 : x
  2. Step 2: Convert to fraction form
    24,231.88/36,348.54 = 6,703/x
  3. Step 3: Cross multiply
    24,231.88x = 36,348.54 × 6,703
  4. Step 4: Simplify right side
    24,231.88x = 243,644,263.62
  5. Step 5: Solve for x
    x = 243,644,263.62/24,231.88
  6. Step 6: Final answer
    x = 10,054.70

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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.