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Finding the Fourth Proportional to 15,084, 22,651.56 and 9,828

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Solution

The fourth proportional to 15,084, 22,651.56 and 9,828 is: 14,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084 : 22,651.56 = 9,828 : x
  2. Step 2: Convert to fraction form
    15,084/22,651.56 = 9,828/x
  3. Step 3: Cross multiply
    15,084x = 22,651.56 × 9,828
  4. Step 4: Simplify right side
    15,084x = 222,619,531.68
  5. Step 5: Solve for x
    x = 222,619,531.68/15,084
  6. Step 6: Final answer
    x = 14,758.65

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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.