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Finding the Fourth Proportional to 25,710.90, 38,564.73 and 8,193.30

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Solution

The fourth proportional to 25,710.90, 38,564.73 and 8,193.30 is: 12,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.90 : 38,564.73 = 8,193.30 : x
  2. Step 2: Convert to fraction form
    25,710.90/38,564.73 = 8,193.30/x
  3. Step 3: Cross multiply
    25,710.90x = 38,564.73 × 8,193.30
  4. Step 4: Simplify right side
    25,710.90x = 315,972,402.31
  5. Step 5: Solve for x
    x = 315,972,402.31/25,710.90
  6. Step 6: Final answer
    x = 12,289.43

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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.