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Finding the Fourth Proportional to 25,396.80, 38,098.74 and 10,602.33

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Solution

The fourth proportional to 25,396.80, 38,098.74 and 10,602.33 is: 15,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.80 : 38,098.74 = 10,602.33 : x
  2. Step 2: Convert to fraction form
    25,396.80/38,098.74 = 10,602.33/x
  3. Step 3: Cross multiply
    25,396.80x = 38,098.74 × 10,602.33
  4. Step 4: Simplify right side
    25,396.80x = 403,935,414.06
  5. Step 5: Solve for x
    x = 403,935,414.06/25,396.80
  6. Step 6: Final answer
    x = 15,904.97

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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.