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Finding the Fourth Proportional to 24,452.24, 36,664.59 and 7,808.36

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Solution

The fourth proportional to 24,452.24, 36,664.59 and 7,808.36 is: 11,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.24 : 36,664.59 = 7,808.36 : x
  2. Step 2: Convert to fraction form
    24,452.24/36,664.59 = 7,808.36/x
  3. Step 3: Cross multiply
    24,452.24x = 36,664.59 × 7,808.36
  4. Step 4: Simplify right side
    24,452.24x = 286,290,317.97
  5. Step 5: Solve for x
    x = 286,290,317.97/24,452.24
  6. Step 6: Final answer
    x = 11,708.14

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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.