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Finding the Fourth Proportional to 25,898.28, 38,851.26 and 9,481

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Solution

The fourth proportional to 25,898.28, 38,851.26 and 9,481 is: 14,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.28 : 38,851.26 = 9,481 : x
  2. Step 2: Convert to fraction form
    25,898.28/38,851.26 = 9,481/x
  3. Step 3: Cross multiply
    25,898.28x = 38,851.26 × 9,481
  4. Step 4: Simplify right side
    25,898.28x = 368,348,796.06
  5. Step 5: Solve for x
    x = 368,348,796.06/25,898.28
  6. Step 6: Final answer
    x = 14,222.91

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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.