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Finding the Fourth Proportional to 25,208.66, 34,787.33 and 13,878.06

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Solution

The fourth proportional to 25,208.66, 34,787.33 and 13,878.06 is: 19,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.66 : 34,787.33 = 13,878.06 : x
  2. Step 2: Convert to fraction form
    25,208.66/34,787.33 = 13,878.06/x
  3. Step 3: Cross multiply
    25,208.66x = 34,787.33 × 13,878.06
  4. Step 4: Simplify right side
    25,208.66x = 482,780,652.98
  5. Step 5: Solve for x
    x = 482,780,652.98/25,208.66
  6. Step 6: Final answer
    x = 19,151.38

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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.