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Finding the Fourth Proportional to 25,208.69, 34,788.83 and 13,878.74

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Solution

The fourth proportional to 25,208.69, 34,788.83 and 13,878.74 is: 19,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.69 : 34,788.83 = 13,878.74 : x
  2. Step 2: Convert to fraction form
    25,208.69/34,788.83 = 13,878.74/x
  3. Step 3: Cross multiply
    25,208.69x = 34,788.83 × 13,878.74
  4. Step 4: Simplify right side
    25,208.69x = 482,825,144.05
  5. Step 5: Solve for x
    x = 482,825,144.05/25,208.69
  6. Step 6: Final answer
    x = 19,153.13

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