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Finding the Fourth Proportional to 23,031.40, 34,542 and 8,241.32

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Solution

The fourth proportional to 23,031.40, 34,542 and 8,241.32 is: 12,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.40 : 34,542 = 8,241.32 : x
  2. Step 2: Convert to fraction form
    23,031.40/34,542 = 8,241.32/x
  3. Step 3: Cross multiply
    23,031.40x = 34,542 × 8,241.32
  4. Step 4: Simplify right side
    23,031.40x = 284,671,675.44
  5. Step 5: Solve for x
    x = 284,671,675.44/23,031.40
  6. Step 6: Final answer
    x = 12,360.16

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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.