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Finding the Fourth Proportional to 16,267.40, 22,447.16 and 9,193.80

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Solution

The fourth proportional to 16,267.40, 22,447.16 and 9,193.80 is: 12,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.40 : 22,447.16 = 9,193.80 : x
  2. Step 2: Convert to fraction form
    16,267.40/22,447.16 = 9,193.80/x
  3. Step 3: Cross multiply
    16,267.40x = 22,447.16 × 9,193.80
  4. Step 4: Simplify right side
    16,267.40x = 206,374,653.64
  5. Step 5: Solve for x
    x = 206,374,653.64/16,267.40
  6. Step 6: Final answer
    x = 12,686.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.