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Finding the Fourth Proportional to 28,138.16, 42,209.46 and 9,418.30

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Solution

The fourth proportional to 28,138.16, 42,209.46 and 9,418.30 is: 14,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.16 : 42,209.46 = 9,418.30 : x
  2. Step 2: Convert to fraction form
    28,138.16/42,209.46 = 9,418.30/x
  3. Step 3: Cross multiply
    28,138.16x = 42,209.46 × 9,418.30
  4. Step 4: Simplify right side
    28,138.16x = 397,541,357.12
  5. Step 5: Solve for x
    x = 397,541,357.12/28,138.16
  6. Step 6: Final answer
    x = 14,128.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.