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Finding the Fourth Proportional to 19,719.66, 29,564.89 and 9,319.26

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Solution

The fourth proportional to 19,719.66, 29,564.89 and 9,319.26 is: 13,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.66 : 29,564.89 = 9,319.26 : x
  2. Step 2: Convert to fraction form
    19,719.66/29,564.89 = 9,319.26/x
  3. Step 3: Cross multiply
    19,719.66x = 29,564.89 × 9,319.26
  4. Step 4: Simplify right side
    19,719.66x = 275,522,896.78
  5. Step 5: Solve for x
    x = 275,522,896.78/19,719.66
  6. Step 6: Final answer
    x = 13,971.99

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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.