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Finding the Fourth Proportional to 25,398.97, 38,112.62 and 9,614.50

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Solution

The fourth proportional to 25,398.97, 38,112.62 and 9,614.50 is: 14,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398.97 : 38,112.62 = 9,614.50 : x
  2. Step 2: Convert to fraction form
    25,398.97/38,112.62 = 9,614.50/x
  3. Step 3: Cross multiply
    25,398.97x = 38,112.62 × 9,614.50
  4. Step 4: Simplify right side
    25,398.97x = 366,433,784.99
  5. Step 5: Solve for x
    x = 366,433,784.99/25,398.97
  6. Step 6: Final answer
    x = 14,427.11

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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.