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Finding the Fourth Proportional to 13,822.52, 20,728.38 and 6,026

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Solution

The fourth proportional to 13,822.52, 20,728.38 and 6,026 is: 9,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.52 : 20,728.38 = 6,026 : x
  2. Step 2: Convert to fraction form
    13,822.52/20,728.38 = 6,026/x
  3. Step 3: Cross multiply
    13,822.52x = 20,728.38 × 6,026
  4. Step 4: Simplify right side
    13,822.52x = 124,909,217.88
  5. Step 5: Solve for x
    x = 124,909,217.88/13,822.52
  6. Step 6: Final answer
    x = 9,036.65

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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.