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Finding the Fourth Proportional to 24,062.34, 36,076.37 and 9,258.78

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Solution

The fourth proportional to 24,062.34, 36,076.37 and 9,258.78 is: 13,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.34 : 36,076.37 = 9,258.78 : x
  2. Step 2: Convert to fraction form
    24,062.34/36,076.37 = 9,258.78/x
  3. Step 3: Cross multiply
    24,062.34x = 36,076.37 × 9,258.78
  4. Step 4: Simplify right side
    24,062.34x = 334,023,126.73
  5. Step 5: Solve for x
    x = 334,023,126.73/24,062.34
  6. Step 6: Final answer
    x = 13,881.57

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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.