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Finding the Fourth Proportional to 16,701.68, 23,048.62 and 11,398.22

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Solution

The fourth proportional to 16,701.68, 23,048.62 and 11,398.22 is: 15,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.68 : 23,048.62 = 11,398.22 : x
  2. Step 2: Convert to fraction form
    16,701.68/23,048.62 = 11,398.22/x
  3. Step 3: Cross multiply
    16,701.68x = 23,048.62 × 11,398.22
  4. Step 4: Simplify right side
    16,701.68x = 262,713,241.46
  5. Step 5: Solve for x
    x = 262,713,241.46/16,701.68
  6. Step 6: Final answer
    x = 15,729.75

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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.