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Finding the Fourth Proportional to 24,335.10, 36,502.65 and 7,696.42

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Solution

The fourth proportional to 24,335.10, 36,502.65 and 7,696.42 is: 11,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.10 : 36,502.65 = 7,696.42 : x
  2. Step 2: Convert to fraction form
    24,335.10/36,502.65 = 7,696.42/x
  3. Step 3: Cross multiply
    24,335.10x = 36,502.65 × 7,696.42
  4. Step 4: Simplify right side
    24,335.10x = 280,939,634.26
  5. Step 5: Solve for x
    x = 280,939,634.26/24,335.10
  6. Step 6: Final answer
    x = 11,544.63

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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.