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Finding the Fourth Proportional to 13,171.40, 19,713.90 and 10,233.80

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Solution

The fourth proportional to 13,171.40, 19,713.90 and 10,233.80 is: 15,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.40 : 19,713.90 = 10,233.80 : x
  2. Step 2: Convert to fraction form
    13,171.40/19,713.90 = 10,233.80/x
  3. Step 3: Cross multiply
    13,171.40x = 19,713.90 × 10,233.80
  4. Step 4: Simplify right side
    13,171.40x = 201,748,109.82
  5. Step 5: Solve for x
    x = 201,748,109.82/13,171.40
  6. Step 6: Final answer
    x = 15,317.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.