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Finding the Fourth Proportional to 17,656.50, 24,366.24 and 13,184.22

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Solution

The fourth proportional to 17,656.50, 24,366.24 and 13,184.22 is: 18,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.50 : 24,366.24 = 13,184.22 : x
  2. Step 2: Convert to fraction form
    17,656.50/24,366.24 = 13,184.22/x
  3. Step 3: Cross multiply
    17,656.50x = 24,366.24 × 13,184.22
  4. Step 4: Simplify right side
    17,656.50x = 321,249,868.73
  5. Step 5: Solve for x
    x = 321,249,868.73/17,656.50
  6. Step 6: Final answer
    x = 18,194.43

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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.