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Finding the Fourth Proportional to 25,801.50, 38,704.08 and 10,219.13

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Solution

The fourth proportional to 25,801.50, 38,704.08 and 10,219.13 is: 15,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.50 : 38,704.08 = 10,219.13 : x
  2. Step 2: Convert to fraction form
    25,801.50/38,704.08 = 10,219.13/x
  3. Step 3: Cross multiply
    25,801.50x = 38,704.08 × 10,219.13
  4. Step 4: Simplify right side
    25,801.50x = 395,521,831.53
  5. Step 5: Solve for x
    x = 395,521,831.53/25,801.50
  6. Step 6: Final answer
    x = 15,329.41

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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.