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Finding the Fourth Proportional to 12,866.12, 19,191.02 and 11,684.96

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Solution

The fourth proportional to 12,866.12, 19,191.02 and 11,684.96 is: 17,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.12 : 19,191.02 = 11,684.96 : x
  2. Step 2: Convert to fraction form
    12,866.12/19,191.02 = 11,684.96/x
  3. Step 3: Cross multiply
    12,866.12x = 19,191.02 × 11,684.96
  4. Step 4: Simplify right side
    12,866.12x = 224,246,301.06
  5. Step 5: Solve for x
    x = 224,246,301.06/12,866.12
  6. Step 6: Final answer
    x = 17,429.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.