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Finding the Fourth Proportional to 24,103.91, 36,148.86 and 9,309.47

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Solution

The fourth proportional to 24,103.91, 36,148.86 and 9,309.47 is: 13,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103.91 : 36,148.86 = 9,309.47 : x
  2. Step 2: Convert to fraction form
    24,103.91/36,148.86 = 9,309.47/x
  3. Step 3: Cross multiply
    24,103.91x = 36,148.86 × 9,309.47
  4. Step 4: Simplify right side
    24,103.91x = 336,526,546.96
  5. Step 5: Solve for x
    x = 336,526,546.96/24,103.91
  6. Step 6: Final answer
    x = 13,961.49

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1.5x scale

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.