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Finding the Fourth Proportional to 24,357.64, 36,540.90 and 7,721.86

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Solution

The fourth proportional to 24,357.64, 36,540.90 and 7,721.86 is: 11,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.64 : 36,540.90 = 7,721.86 : x
  2. Step 2: Convert to fraction form
    24,357.64/36,540.90 = 7,721.86/x
  3. Step 3: Cross multiply
    24,357.64x = 36,540.90 × 7,721.86
  4. Step 4: Simplify right side
    24,357.64x = 282,163,714.07
  5. Step 5: Solve for x
    x = 282,163,714.07/24,357.64
  6. Step 6: Final answer
    x = 11,584.20

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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.