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Finding the Fourth Proportional to 25,664.84, 38,494.78 and 17,398

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Solution

The fourth proportional to 25,664.84, 38,494.78 and 17,398 is: 26,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664.84 : 38,494.78 = 17,398 : x
  2. Step 2: Convert to fraction form
    25,664.84/38,494.78 = 17,398/x
  3. Step 3: Cross multiply
    25,664.84x = 38,494.78 × 17,398
  4. Step 4: Simplify right side
    25,664.84x = 669,732,182.44
  5. Step 5: Solve for x
    x = 669,732,182.44/25,664.84
  6. Step 6: Final answer
    x = 26,095.32

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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.