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Finding the Fourth Proportional to 19,965.40, 29,972.40 and 10,099.60

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Solution

The fourth proportional to 19,965.40, 29,972.40 and 10,099.60 is: 15,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.40 : 29,972.40 = 10,099.60 : x
  2. Step 2: Convert to fraction form
    19,965.40/29,972.40 = 10,099.60/x
  3. Step 3: Cross multiply
    19,965.40x = 29,972.40 × 10,099.60
  4. Step 4: Simplify right side
    19,965.40x = 302,709,251.04
  5. Step 5: Solve for x
    x = 302,709,251.04/19,965.40
  6. Step 6: Final answer
    x = 15,161.69

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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.