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Finding the Fourth Proportional to 17,684.66, 24,409.10 and 10,135.42

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Solution

The fourth proportional to 17,684.66, 24,409.10 and 10,135.42 is: 13,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.66 : 24,409.10 = 10,135.42 : x
  2. Step 2: Convert to fraction form
    17,684.66/24,409.10 = 10,135.42/x
  3. Step 3: Cross multiply
    17,684.66x = 24,409.10 × 10,135.42
  4. Step 4: Simplify right side
    17,684.66x = 247,396,368.62
  5. Step 5: Solve for x
    x = 247,396,368.62/17,684.66
  6. Step 6: Final answer
    x = 13,989.32

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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.