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Finding the Fourth Proportional to 28,132.20, 42,192.90 and 8,411.40

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Solution

The fourth proportional to 28,132.20, 42,192.90 and 8,411.40 is: 12,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,132.20 : 42,192.90 = 8,411.40 : x
  2. Step 2: Convert to fraction form
    28,132.20/42,192.90 = 8,411.40/x
  3. Step 3: Cross multiply
    28,132.20x = 42,192.90 × 8,411.40
  4. Step 4: Simplify right side
    28,132.20x = 354,901,359.06
  5. Step 5: Solve for x
    x = 354,901,359.06/28,132.20
  6. Step 6: Final answer
    x = 12,615.49

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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.