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Finding the Fourth Proportional to 24,145.75, 33,313.80 and 15,202.18

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Solution

The fourth proportional to 24,145.75, 33,313.80 and 15,202.18 is: 20,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.75 : 33,313.80 = 15,202.18 : x
  2. Step 2: Convert to fraction form
    24,145.75/33,313.80 = 15,202.18/x
  3. Step 3: Cross multiply
    24,145.75x = 33,313.80 × 15,202.18
  4. Step 4: Simplify right side
    24,145.75x = 506,442,384.08
  5. Step 5: Solve for x
    x = 506,442,384.08/24,145.75
  6. Step 6: Final answer
    x = 20,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.