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Finding the Fourth Proportional to 19,719.34, 29,559.87 and 7,869.69

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Solution

The fourth proportional to 19,719.34, 29,559.87 and 7,869.69 is: 11,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.34 : 29,559.87 = 7,869.69 : x
  2. Step 2: Convert to fraction form
    19,719.34/29,559.87 = 7,869.69/x
  3. Step 3: Cross multiply
    19,719.34x = 29,559.87 × 7,869.69
  4. Step 4: Simplify right side
    19,719.34x = 232,627,013.34
  5. Step 5: Solve for x
    x = 232,627,013.34/19,719.34
  6. Step 6: Final answer
    x = 11,796.90

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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.