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Finding the Fourth Proportional to 16,713.16, 23,069.94 and 9,642.40

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Solution

The fourth proportional to 16,713.16, 23,069.94 and 9,642.40 is: 13,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.16 : 23,069.94 = 9,642.40 : x
  2. Step 2: Convert to fraction form
    16,713.16/23,069.94 = 9,642.40/x
  3. Step 3: Cross multiply
    16,713.16x = 23,069.94 × 9,642.40
  4. Step 4: Simplify right side
    16,713.16x = 222,449,589.46
  5. Step 5: Solve for x
    x = 222,449,589.46/16,713.16
  6. Step 6: Final answer
    x = 13,309.85

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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.