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Finding the Fourth Proportional to 24,512.88, 36,779.82 and 10,476

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Solution

The fourth proportional to 24,512.88, 36,779.82 and 10,476 is: 15,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.88 : 36,779.82 = 10,476 : x
  2. Step 2: Convert to fraction form
    24,512.88/36,779.82 = 10,476/x
  3. Step 3: Cross multiply
    24,512.88x = 36,779.82 × 10,476
  4. Step 4: Simplify right side
    24,512.88x = 385,305,394.32
  5. Step 5: Solve for x
    x = 385,305,394.32/24,512.88
  6. Step 6: Final answer
    x = 15,718.49

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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.