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Finding the Fourth Proportional to 17,643.05, 24,347.69 and 9,686

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Solution

The fourth proportional to 17,643.05, 24,347.69 and 9,686 is: 13,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.05 : 24,347.69 = 9,686 : x
  2. Step 2: Convert to fraction form
    17,643.05/24,347.69 = 9,686/x
  3. Step 3: Cross multiply
    17,643.05x = 24,347.69 × 9,686
  4. Step 4: Simplify right side
    17,643.05x = 235,831,725.34
  5. Step 5: Solve for x
    x = 235,831,725.34/17,643.05
  6. Step 6: Final answer
    x = 13,366.83

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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.