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Finding the Fourth Proportional to 20,994.48, 31,472.28 and 11,754

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Solution

The fourth proportional to 20,994.48, 31,472.28 and 11,754 is: 17,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.48 : 31,472.28 = 11,754 : x
  2. Step 2: Convert to fraction form
    20,994.48/31,472.28 = 11,754/x
  3. Step 3: Cross multiply
    20,994.48x = 31,472.28 × 11,754
  4. Step 4: Simplify right side
    20,994.48x = 369,925,179.12
  5. Step 5: Solve for x
    x = 369,925,179.12/20,994.48
  6. Step 6: Final answer
    x = 17,620.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.