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Finding the Fourth Proportional to 25,402.88, 38,107.56 and 7,873.76

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Solution

The fourth proportional to 25,402.88, 38,107.56 and 7,873.76 is: 11,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.88 : 38,107.56 = 7,873.76 : x
  2. Step 2: Convert to fraction form
    25,402.88/38,107.56 = 7,873.76/x
  3. Step 3: Cross multiply
    25,402.88x = 38,107.56 × 7,873.76
  4. Step 4: Simplify right side
    25,402.88x = 300,049,781.63
  5. Step 5: Solve for x
    x = 300,049,781.63/25,402.88
  6. Step 6: Final answer
    x = 11,811.64

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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.