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Finding the Fourth Proportional to 25,765.90, 38,824.35 and 21,188.44

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Solution

The fourth proportional to 25,765.90, 38,824.35 and 21,188.44 is: 31,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.90 : 38,824.35 = 21,188.44 : x
  2. Step 2: Convert to fraction form
    25,765.90/38,824.35 = 21,188.44/x
  3. Step 3: Cross multiply
    25,765.90x = 38,824.35 × 21,188.44
  4. Step 4: Simplify right side
    25,765.90x = 822,627,110.45
  5. Step 5: Solve for x
    x = 822,627,110.45/25,765.90
  6. Step 6: Final answer
    x = 31,926.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.