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Finding the Fourth Proportional to 28,114.20, 42,165.90 and 8,393.40

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Solution

The fourth proportional to 28,114.20, 42,165.90 and 8,393.40 is: 12,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.20 : 42,165.90 = 8,393.40 : x
  2. Step 2: Convert to fraction form
    28,114.20/42,165.90 = 8,393.40/x
  3. Step 3: Cross multiply
    28,114.20x = 42,165.90 × 8,393.40
  4. Step 4: Simplify right side
    28,114.20x = 353,915,265.06
  5. Step 5: Solve for x
    x = 353,915,265.06/28,114.20
  6. Step 6: Final answer
    x = 12,588.49

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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.