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Finding the Fourth Proportional to 24,019.78, 36,034.92 and 7,381

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Solution

The fourth proportional to 24,019.78, 36,034.92 and 7,381 is: 11,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.78 : 36,034.92 = 7,381 : x
  2. Step 2: Convert to fraction form
    24,019.78/36,034.92 = 7,381/x
  3. Step 3: Cross multiply
    24,019.78x = 36,034.92 × 7,381
  4. Step 4: Simplify right side
    24,019.78x = 265,973,744.52
  5. Step 5: Solve for x
    x = 265,973,744.52/24,019.78
  6. Step 6: Final answer
    x = 11,073.11

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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.