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Finding the Fourth Proportional to 24,199.74, 36,309 and 9,419.04

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Solution

The fourth proportional to 24,199.74, 36,309 and 9,419.04 is: 14,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.74 : 36,309 = 9,419.04 : x
  2. Step 2: Convert to fraction form
    24,199.74/36,309 = 9,419.04/x
  3. Step 3: Cross multiply
    24,199.74x = 36,309 × 9,419.04
  4. Step 4: Simplify right side
    24,199.74x = 341,995,923.36
  5. Step 5: Solve for x
    x = 341,995,923.36/24,199.74
  6. Step 6: Final answer
    x = 14,132.21

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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.