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Finding the Fourth Proportional to 24,865.62, 37,304.35 and 7,335.46

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Solution

The fourth proportional to 24,865.62, 37,304.35 and 7,335.46 is: 11,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.62 : 37,304.35 = 7,335.46 : x
  2. Step 2: Convert to fraction form
    24,865.62/37,304.35 = 7,335.46/x
  3. Step 3: Cross multiply
    24,865.62x = 37,304.35 × 7,335.46
  4. Step 4: Simplify right side
    24,865.62x = 273,644,595.54
  5. Step 5: Solve for x
    x = 273,644,595.54/24,865.62
  6. Step 6: Final answer
    x = 11,004.94

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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.