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Finding the Fourth Proportional to 25,877.69, 38,816.52 and 8,347.52

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Solution

The fourth proportional to 25,877.69, 38,816.52 and 8,347.52 is: 12,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.69 : 38,816.52 = 8,347.52 : x
  2. Step 2: Convert to fraction form
    25,877.69/38,816.52 = 8,347.52/x
  3. Step 3: Cross multiply
    25,877.69x = 38,816.52 × 8,347.52
  4. Step 4: Simplify right side
    25,877.69x = 324,021,579.01
  5. Step 5: Solve for x
    x = 324,021,579.01/25,877.69
  6. Step 6: Final answer
    x = 12,521.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.