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Finding the Fourth Proportional to 15,892.36, 23,830.96 and 5,890.24

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Solution

The fourth proportional to 15,892.36, 23,830.96 and 5,890.24 is: 8,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.36 : 23,830.96 = 5,890.24 : x
  2. Step 2: Convert to fraction form
    15,892.36/23,830.96 = 5,890.24/x
  3. Step 3: Cross multiply
    15,892.36x = 23,830.96 × 5,890.24
  4. Step 4: Simplify right side
    15,892.36x = 140,370,073.83
  5. Step 5: Solve for x
    x = 140,370,073.83/15,892.36
  6. Step 6: Final answer
    x = 8,832.55

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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.