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Finding the Fourth Proportional to 13,822.16, 20,830.57 and 12,507.68

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Solution

The fourth proportional to 13,822.16, 20,830.57 and 12,507.68 is: 18,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.16 : 20,830.57 = 12,507.68 : x
  2. Step 2: Convert to fraction form
    13,822.16/20,830.57 = 12,507.68/x
  3. Step 3: Cross multiply
    13,822.16x = 20,830.57 × 12,507.68
  4. Step 4: Simplify right side
    13,822.16x = 260,542,103.78
  5. Step 5: Solve for x
    x = 260,542,103.78/13,822.16
  6. Step 6: Final answer
    x = 18,849.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.