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Finding the Fourth Proportional to 12,091.79, 16,678.28 and 9,853.67

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Solution

The fourth proportional to 12,091.79, 16,678.28 and 9,853.67 is: 13,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.79 : 16,678.28 = 9,853.67 : x
  2. Step 2: Convert to fraction form
    12,091.79/16,678.28 = 9,853.67/x
  3. Step 3: Cross multiply
    12,091.79x = 16,678.28 × 9,853.67
  4. Step 4: Simplify right side
    12,091.79x = 164,342,218.02
  5. Step 5: Solve for x
    x = 164,342,218.02/12,091.79
  6. Step 6: Final answer
    x = 13,591.22

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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.