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Finding the Fourth Proportional to 25,866.42, 38,775.03 and 16,480.09

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Solution

The fourth proportional to 25,866.42, 38,775.03 and 16,480.09 is: 24,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.42 : 38,775.03 = 16,480.09 : x
  2. Step 2: Convert to fraction form
    25,866.42/38,775.03 = 16,480.09/x
  3. Step 3: Cross multiply
    25,866.42x = 38,775.03 × 16,480.09
  4. Step 4: Simplify right side
    25,866.42x = 639,015,984.15
  5. Step 5: Solve for x
    x = 639,015,984.15/25,866.42
  6. Step 6: Final answer
    x = 24,704.46

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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.