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Finding the Fourth Proportional to 25,858.66, 38,787.22 and 7,139.84

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Solution

The fourth proportional to 25,858.66, 38,787.22 and 7,139.84 is: 10,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.66 : 38,787.22 = 7,139.84 : x
  2. Step 2: Convert to fraction form
    25,858.66/38,787.22 = 7,139.84/x
  3. Step 3: Cross multiply
    25,858.66x = 38,787.22 × 7,139.84
  4. Step 4: Simplify right side
    25,858.66x = 276,934,544.84
  5. Step 5: Solve for x
    x = 276,934,544.84/25,858.66
  6. Step 6: Final answer
    x = 10,709.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.