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Finding the Fourth Proportional to 18,829.06, 28,251.57 and 9,464.15

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Solution

The fourth proportional to 18,829.06, 28,251.57 and 9,464.15 is: 14,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.06 : 28,251.57 = 9,464.15 : x
  2. Step 2: Convert to fraction form
    18,829.06/28,251.57 = 9,464.15/x
  3. Step 3: Cross multiply
    18,829.06x = 28,251.57 × 9,464.15
  4. Step 4: Simplify right side
    18,829.06x = 267,376,907.64
  5. Step 5: Solve for x
    x = 267,376,907.64/18,829.06
  6. Step 6: Final answer
    x = 14,200.23

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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.