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Finding the Fourth Proportional to 23,314.16, 34,972.49 and 6,676.63

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Solution

The fourth proportional to 23,314.16, 34,972.49 and 6,676.63 is: 10,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.16 : 34,972.49 = 6,676.63 : x
  2. Step 2: Convert to fraction form
    23,314.16/34,972.49 = 6,676.63/x
  3. Step 3: Cross multiply
    23,314.16x = 34,972.49 × 6,676.63
  4. Step 4: Simplify right side
    23,314.16x = 233,498,305.17
  5. Step 5: Solve for x
    x = 233,498,305.17/23,314.16
  6. Step 6: Final answer
    x = 10,015.30

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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.