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Finding the Fourth Proportional to 25,409.82, 38,107.52 and 16,035.80

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Solution

The fourth proportional to 25,409.82, 38,107.52 and 16,035.80 is: 24,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.82 : 38,107.52 = 16,035.80 : x
  2. Step 2: Convert to fraction form
    25,409.82/38,107.52 = 16,035.80/x
  3. Step 3: Cross multiply
    25,409.82x = 38,107.52 × 16,035.80
  4. Step 4: Simplify right side
    25,409.82x = 611,084,298.50
  5. Step 5: Solve for x
    x = 611,084,298.50/25,409.82
  6. Step 6: Final answer
    x = 24,049.14

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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.