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Finding the Fourth Proportional to 25,209.39, 34,788.68 and 13,878.65

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Solution

The fourth proportional to 25,209.39, 34,788.68 and 13,878.65 is: 19,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209.39 : 34,788.68 = 13,878.65 : x
  2. Step 2: Convert to fraction form
    25,209.39/34,788.68 = 13,878.65/x
  3. Step 3: Cross multiply
    25,209.39x = 34,788.68 × 13,878.65
  4. Step 4: Simplify right side
    25,209.39x = 482,819,902.64
  5. Step 5: Solve for x
    x = 482,819,902.64/25,209.39
  6. Step 6: Final answer
    x = 19,152.38

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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.