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Finding the Fourth Proportional to 25,748.82, 38,618.91 and 7,276.50

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Solution

The fourth proportional to 25,748.82, 38,618.91 and 7,276.50 is: 10,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.82 : 38,618.91 = 7,276.50 : x
  2. Step 2: Convert to fraction form
    25,748.82/38,618.91 = 7,276.50/x
  3. Step 3: Cross multiply
    25,748.82x = 38,618.91 × 7,276.50
  4. Step 4: Simplify right side
    25,748.82x = 281,010,498.62
  5. Step 5: Solve for x
    x = 281,010,498.62/25,748.82
  6. Step 6: Final answer
    x = 10,913.53

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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.