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Finding the Fourth Proportional to 25,486.71, 38,228.71 and 7,954.53

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Solution

The fourth proportional to 25,486.71, 38,228.71 and 7,954.53 is: 11,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486.71 : 38,228.71 = 7,954.53 : x
  2. Step 2: Convert to fraction form
    25,486.71/38,228.71 = 7,954.53/x
  3. Step 3: Cross multiply
    25,486.71x = 38,228.71 × 7,954.53
  4. Step 4: Simplify right side
    25,486.71x = 304,091,420.56
  5. Step 5: Solve for x
    x = 304,091,420.56/25,486.71
  6. Step 6: Final answer
    x = 11,931.37

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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.