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Finding the Fourth Proportional to 16,711.25, 23,061.53 and 9,997.16

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Solution

The fourth proportional to 16,711.25, 23,061.53 and 9,997.16 is: 13,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.25 : 23,061.53 = 9,997.16 : x
  2. Step 2: Convert to fraction form
    16,711.25/23,061.53 = 9,997.16/x
  3. Step 3: Cross multiply
    16,711.25x = 23,061.53 × 9,997.16
  4. Step 4: Simplify right side
    16,711.25x = 230,549,805.25
  5. Step 5: Solve for x
    x = 230,549,805.25/16,711.25
  6. Step 6: Final answer
    x = 13,796.08

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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.