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Finding the Fourth Proportional to 23,697.40, 35,546.10 and 19,838.20

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Solution

The fourth proportional to 23,697.40, 35,546.10 and 19,838.20 is: 29,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.40 : 35,546.10 = 19,838.20 : x
  2. Step 2: Convert to fraction form
    23,697.40/35,546.10 = 19,838.20/x
  3. Step 3: Cross multiply
    23,697.40x = 35,546.10 × 19,838.20
  4. Step 4: Simplify right side
    23,697.40x = 705,170,641.02
  5. Step 5: Solve for x
    x = 705,170,641.02/23,697.40
  6. Step 6: Final answer
    x = 29,757.30

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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.