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Finding the Fourth Proportional to 19,923.81, 27,493.88 and 10,972.10

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Solution

The fourth proportional to 19,923.81, 27,493.88 and 10,972.10 is: 15,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.81 : 27,493.88 = 10,972.10 : x
  2. Step 2: Convert to fraction form
    19,923.81/27,493.88 = 10,972.10/x
  3. Step 3: Cross multiply
    19,923.81x = 27,493.88 × 10,972.10
  4. Step 4: Simplify right side
    19,923.81x = 301,665,408.42
  5. Step 5: Solve for x
    x = 301,665,408.42/19,923.81
  6. Step 6: Final answer
    x = 15,140.95

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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.