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Finding the Fourth Proportional to 23,647.64, 35,473.52 and 6,780.74

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Solution

The fourth proportional to 23,647.64, 35,473.52 and 6,780.74 is: 10,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.64 : 35,473.52 = 6,780.74 : x
  2. Step 2: Convert to fraction form
    23,647.64/35,473.52 = 6,780.74/x
  3. Step 3: Cross multiply
    23,647.64x = 35,473.52 × 6,780.74
  4. Step 4: Simplify right side
    23,647.64x = 240,536,716.00
  5. Step 5: Solve for x
    x = 240,536,716.00/23,647.64
  6. Step 6: Final answer
    x = 10,171.70

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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.