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Finding the Fourth Proportional to 19,667.28, 29,493.09 and 7,184.46

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Solution

The fourth proportional to 19,667.28, 29,493.09 and 7,184.46 is: 10,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.28 : 29,493.09 = 7,184.46 : x
  2. Step 2: Convert to fraction form
    19,667.28/29,493.09 = 7,184.46/x
  3. Step 3: Cross multiply
    19,667.28x = 29,493.09 × 7,184.46
  4. Step 4: Simplify right side
    19,667.28x = 211,891,925.38
  5. Step 5: Solve for x
    x = 211,891,925.38/19,667.28
  6. Step 6: Final answer
    x = 10,773.83

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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.