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Finding the Fourth Proportional to 25,550.88, 38,334.96 and 8,023.20

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Solution

The fourth proportional to 25,550.88, 38,334.96 and 8,023.20 is: 12,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,550.88 : 38,334.96 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    25,550.88/38,334.96 = 8,023.20/x
  3. Step 3: Cross multiply
    25,550.88x = 38,334.96 × 8,023.20
  4. Step 4: Simplify right side
    25,550.88x = 307,569,051.07
  5. Step 5: Solve for x
    x = 307,569,051.07/25,550.88
  6. Step 6: Final answer
    x = 12,037.51

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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.