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Finding the Fourth Proportional to 25,998.84, 38,998.23 and 10,427.40

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Solution

The fourth proportional to 25,998.84, 38,998.23 and 10,427.40 is: 15,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998.84 : 38,998.23 = 10,427.40 : x
  2. Step 2: Convert to fraction form
    25,998.84/38,998.23 = 10,427.40/x
  3. Step 3: Cross multiply
    25,998.84x = 38,998.23 × 10,427.40
  4. Step 4: Simplify right side
    25,998.84x = 406,650,143.50
  5. Step 5: Solve for x
    x = 406,650,143.50/25,998.84
  6. Step 6: Final answer
    x = 15,641.09

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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.