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Finding the Fourth Proportional to 25,510.59, 38,260.38 and 7,978.14

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Solution

The fourth proportional to 25,510.59, 38,260.38 and 7,978.14 is: 11,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.59 : 38,260.38 = 7,978.14 : x
  2. Step 2: Convert to fraction form
    25,510.59/38,260.38 = 7,978.14/x
  3. Step 3: Cross multiply
    25,510.59x = 38,260.38 × 7,978.14
  4. Step 4: Simplify right side
    25,510.59x = 305,246,668.09
  5. Step 5: Solve for x
    x = 305,246,668.09/25,510.59
  6. Step 6: Final answer
    x = 11,965.49

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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.