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Finding the Fourth Proportional to 25,694.49, 38,545.60 and 9,051.60

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Solution

The fourth proportional to 25,694.49, 38,545.60 and 9,051.60 is: 13,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.49 : 38,545.60 = 9,051.60 : x
  2. Step 2: Convert to fraction form
    25,694.49/38,545.60 = 9,051.60/x
  3. Step 3: Cross multiply
    25,694.49x = 38,545.60 × 9,051.60
  4. Step 4: Simplify right side
    25,694.49x = 348,899,352.96
  5. Step 5: Solve for x
    x = 348,899,352.96/25,694.49
  6. Step 6: Final answer
    x = 13,578.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.