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Finding the Fourth Proportional to 16,972.70, 23,422.58 and 9,419.51

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Solution

The fourth proportional to 16,972.70, 23,422.58 and 9,419.51 is: 12,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.70 : 23,422.58 = 9,419.51 : x
  2. Step 2: Convert to fraction form
    16,972.70/23,422.58 = 9,419.51/x
  3. Step 3: Cross multiply
    16,972.70x = 23,422.58 × 9,419.51
  4. Step 4: Simplify right side
    16,972.70x = 220,629,308.64
  5. Step 5: Solve for x
    x = 220,629,308.64/16,972.70
  6. Step 6: Final answer
    x = 12,999.07

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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.