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Finding the Fourth Proportional to 19,686.32, 27,166.19 and 11,188.23

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Solution

The fourth proportional to 19,686.32, 27,166.19 and 11,188.23 is: 15,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.32 : 27,166.19 = 11,188.23 : x
  2. Step 2: Convert to fraction form
    19,686.32/27,166.19 = 11,188.23/x
  3. Step 3: Cross multiply
    19,686.32x = 27,166.19 × 11,188.23
  4. Step 4: Simplify right side
    19,686.32x = 303,941,581.94
  5. Step 5: Solve for x
    x = 303,941,581.94/19,686.32
  6. Step 6: Final answer
    x = 15,439.23

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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.