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Finding the Fourth Proportional to 17,681.50, 24,412.44 and 10,969.84

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Solution

The fourth proportional to 17,681.50, 24,412.44 and 10,969.84 is: 15,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.50 : 24,412.44 = 10,969.84 : x
  2. Step 2: Convert to fraction form
    17,681.50/24,412.44 = 10,969.84/x
  3. Step 3: Cross multiply
    17,681.50x = 24,412.44 × 10,969.84
  4. Step 4: Simplify right side
    17,681.50x = 267,800,560.81
  5. Step 5: Solve for x
    x = 267,800,560.81/17,681.50
  6. Step 6: Final answer
    x = 15,145.81

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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.