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Finding the Fourth Proportional to 16,972.81, 23,422.53 and 9,419.29

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Solution

The fourth proportional to 16,972.81, 23,422.53 and 9,419.29 is: 12,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.81 : 23,422.53 = 9,419.29 : x
  2. Step 2: Convert to fraction form
    16,972.81/23,422.53 = 9,419.29/x
  3. Step 3: Cross multiply
    16,972.81x = 23,422.53 × 9,419.29
  4. Step 4: Simplify right side
    16,972.81x = 220,623,579.37
  5. Step 5: Solve for x
    x = 220,623,579.37/16,972.81
  6. Step 6: Final answer
    x = 12,998.65

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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.