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Finding the Fourth Proportional to 24,729.50, 37,094.25 and 12,264.97

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Solution

The fourth proportional to 24,729.50, 37,094.25 and 12,264.97 is: 18,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.50 : 37,094.25 = 12,264.97 : x
  2. Step 2: Convert to fraction form
    24,729.50/37,094.25 = 12,264.97/x
  3. Step 3: Cross multiply
    24,729.50x = 37,094.25 × 12,264.97
  4. Step 4: Simplify right side
    24,729.50x = 454,959,886.23
  5. Step 5: Solve for x
    x = 454,959,886.23/24,729.50
  6. Step 6: Final answer
    x = 18,397.45

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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.