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Finding the Fourth Proportional to 25,400.64, 38,087.04 and 7,865.60

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Solution

The fourth proportional to 25,400.64, 38,087.04 and 7,865.60 is: 11,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400.64 : 38,087.04 = 7,865.60 : x
  2. Step 2: Convert to fraction form
    25,400.64/38,087.04 = 7,865.60/x
  3. Step 3: Cross multiply
    25,400.64x = 38,087.04 × 7,865.60
  4. Step 4: Simplify right side
    25,400.64x = 299,577,421.82
  5. Step 5: Solve for x
    x = 299,577,421.82/25,400.64
  6. Step 6: Final answer
    x = 11,794.09

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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.