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Finding the Fourth Proportional to 25,900.28, 38,860.74 and 10,328.84

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Solution

The fourth proportional to 25,900.28, 38,860.74 and 10,328.84 is: 15,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.28 : 38,860.74 = 10,328.84 : x
  2. Step 2: Convert to fraction form
    25,900.28/38,860.74 = 10,328.84/x
  3. Step 3: Cross multiply
    25,900.28x = 38,860.74 × 10,328.84
  4. Step 4: Simplify right side
    25,900.28x = 401,386,365.74
  5. Step 5: Solve for x
    x = 401,386,365.74/25,900.28
  6. Step 6: Final answer
    x = 15,497.38

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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.