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Finding the Fourth Proportional to 25,963.40, 38,829.90 and 21,816.20

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Solution

The fourth proportional to 25,963.40, 38,829.90 and 21,816.20 is: 32,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.40 : 38,829.90 = 21,816.20 : x
  2. Step 2: Convert to fraction form
    25,963.40/38,829.90 = 21,816.20/x
  3. Step 3: Cross multiply
    25,963.40x = 38,829.90 × 21,816.20
  4. Step 4: Simplify right side
    25,963.40x = 847,120,864.38
  5. Step 5: Solve for x
    x = 847,120,864.38/25,963.40
  6. Step 6: Final answer
    x = 32,627.50

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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.