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Finding the Fourth Proportional to 25,208.97, 34,787.16 and 13,878.22

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Solution

The fourth proportional to 25,208.97, 34,787.16 and 13,878.22 is: 19,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.97 : 34,787.16 = 13,878.22 : x
  2. Step 2: Convert to fraction form
    25,208.97/34,787.16 = 13,878.22/x
  3. Step 3: Cross multiply
    25,208.97x = 34,787.16 × 13,878.22
  4. Step 4: Simplify right side
    25,208.97x = 482,783,859.66
  5. Step 5: Solve for x
    x = 482,783,859.66/25,208.97
  6. Step 6: Final answer
    x = 19,151.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.