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Finding the Fourth Proportional to 19,808.59, 29,719.23 and 5,769.46

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Solution

The fourth proportional to 19,808.59, 29,719.23 and 5,769.46 is: 8,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.59 : 29,719.23 = 5,769.46 : x
  2. Step 2: Convert to fraction form
    19,808.59/29,719.23 = 5,769.46/x
  3. Step 3: Cross multiply
    19,808.59x = 29,719.23 × 5,769.46
  4. Step 4: Simplify right side
    19,808.59x = 171,463,760.12
  5. Step 5: Solve for x
    x = 171,463,760.12/19,808.59
  6. Step 6: Final answer
    x = 8,656.03

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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.