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Finding the Fourth Proportional to 19,617.57, 27,071.11 and 10,665

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Solution

The fourth proportional to 19,617.57, 27,071.11 and 10,665 is: 14,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.57 : 27,071.11 = 10,665 : x
  2. Step 2: Convert to fraction form
    19,617.57/27,071.11 = 10,665/x
  3. Step 3: Cross multiply
    19,617.57x = 27,071.11 × 10,665
  4. Step 4: Simplify right side
    19,617.57x = 288,713,388.15
  5. Step 5: Solve for x
    x = 288,713,388.15/19,617.57
  6. Step 6: Final answer
    x = 14,717.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.