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Finding the Fourth Proportional to 19,817.46, 29,723.76 and 11,502

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Solution

The fourth proportional to 19,817.46, 29,723.76 and 11,502 is: 17,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.46 : 29,723.76 = 11,502 : x
  2. Step 2: Convert to fraction form
    19,817.46/29,723.76 = 11,502/x
  3. Step 3: Cross multiply
    19,817.46x = 29,723.76 × 11,502
  4. Step 4: Simplify right side
    19,817.46x = 341,882,687.52
  5. Step 5: Solve for x
    x = 341,882,687.52/19,817.46
  6. Step 6: Final answer
    x = 17,251.59

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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.