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Finding the Fourth Proportional to 24,264.98, 36,397.48 and 6,734.82

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Solution

The fourth proportional to 24,264.98, 36,397.48 and 6,734.82 is: 10,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.98 : 36,397.48 = 6,734.82 : x
  2. Step 2: Convert to fraction form
    24,264.98/36,397.48 = 6,734.82/x
  3. Step 3: Cross multiply
    24,264.98x = 36,397.48 × 6,734.82
  4. Step 4: Simplify right side
    24,264.98x = 245,130,476.25
  5. Step 5: Solve for x
    x = 245,130,476.25/24,264.98
  6. Step 6: Final answer
    x = 10,102.23

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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.