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Finding the Fourth Proportional to 28,966.32, 43,442.88 and 8,191.44

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Solution

The fourth proportional to 28,966.32, 43,442.88 and 8,191.44 is: 12,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,966.32 : 43,442.88 = 8,191.44 : x
  2. Step 2: Convert to fraction form
    28,966.32/43,442.88 = 8,191.44/x
  3. Step 3: Cross multiply
    28,966.32x = 43,442.88 × 8,191.44
  4. Step 4: Simplify right side
    28,966.32x = 355,859,744.95
  5. Step 5: Solve for x
    x = 355,859,744.95/28,966.32
  6. Step 6: Final answer
    x = 12,285.29

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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.