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Finding the Fourth Proportional to 25,822.80, 38,737.80 and 11,031.60

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Solution

The fourth proportional to 25,822.80, 38,737.80 and 11,031.60 is: 16,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.80 : 38,737.80 = 11,031.60 : x
  2. Step 2: Convert to fraction form
    25,822.80/38,737.80 = 11,031.60/x
  3. Step 3: Cross multiply
    25,822.80x = 38,737.80 × 11,031.60
  4. Step 4: Simplify right side
    25,822.80x = 427,339,914.48
  5. Step 5: Solve for x
    x = 427,339,914.48/25,822.80
  6. Step 6: Final answer
    x = 16,548.94

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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.