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Finding the Fourth Proportional to 25,053.84, 34,578.09 and 14,298.66

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Solution

The fourth proportional to 25,053.84, 34,578.09 and 14,298.66 is: 19,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053.84 : 34,578.09 = 14,298.66 : x
  2. Step 2: Convert to fraction form
    25,053.84/34,578.09 = 14,298.66/x
  3. Step 3: Cross multiply
    25,053.84x = 34,578.09 × 14,298.66
  4. Step 4: Simplify right side
    25,053.84x = 494,420,352.36
  5. Step 5: Solve for x
    x = 494,420,352.36/25,053.84
  6. Step 6: Final answer
    x = 19,734.31

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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.