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Finding the Fourth Proportional to 15,883.76, 23,825.64 and 9,355.52

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Solution

The fourth proportional to 15,883.76, 23,825.64 and 9,355.52 is: 14,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.76 : 23,825.64 = 9,355.52 : x
  2. Step 2: Convert to fraction form
    15,883.76/23,825.64 = 9,355.52/x
  3. Step 3: Cross multiply
    15,883.76x = 23,825.64 × 9,355.52
  4. Step 4: Simplify right side
    15,883.76x = 222,901,251.53
  5. Step 5: Solve for x
    x = 222,901,251.53/15,883.76
  6. Step 6: Final answer
    x = 14,033.28

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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.