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Finding the Fourth Proportional to 16,097.23, 22,214.76 and 9,381.79

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Solution

The fourth proportional to 16,097.23, 22,214.76 and 9,381.79 is: 12,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.23 : 22,214.76 = 9,381.79 : x
  2. Step 2: Convert to fraction form
    16,097.23/22,214.76 = 9,381.79/x
  3. Step 3: Cross multiply
    16,097.23x = 22,214.76 × 9,381.79
  4. Step 4: Simplify right side
    16,097.23x = 208,414,205.81
  5. Step 5: Solve for x
    x = 208,414,205.81/16,097.23
  6. Step 6: Final answer
    x = 12,947.21

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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.