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Finding the Fourth Proportional to 13,568.30, 20,374.05 and 9,205.10

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Solution

The fourth proportional to 13,568.30, 20,374.05 and 9,205.10 is: 13,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.30 : 20,374.05 = 9,205.10 : x
  2. Step 2: Convert to fraction form
    13,568.30/20,374.05 = 9,205.10/x
  3. Step 3: Cross multiply
    13,568.30x = 20,374.05 × 9,205.10
  4. Step 4: Simplify right side
    13,568.30x = 187,545,167.66
  5. Step 5: Solve for x
    x = 187,545,167.66/13,568.30
  6. Step 6: Final answer
    x = 13,822.30

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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.