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Finding the Fourth Proportional to 24,292.74, 36,444.57 and 7,427.22

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Solution

The fourth proportional to 24,292.74, 36,444.57 and 7,427.22 is: 11,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.74 : 36,444.57 = 7,427.22 : x
  2. Step 2: Convert to fraction form
    24,292.74/36,444.57 = 7,427.22/x
  3. Step 3: Cross multiply
    24,292.74x = 36,444.57 × 7,427.22
  4. Step 4: Simplify right side
    24,292.74x = 270,681,839.20
  5. Step 5: Solve for x
    x = 270,681,839.20/24,292.74
  6. Step 6: Final answer
    x = 11,142.50

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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.