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Finding the Fourth Proportional to 23,620.07, 35,405.10 and 7,821.02

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Solution

The fourth proportional to 23,620.07, 35,405.10 and 7,821.02 is: 11,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620.07 : 35,405.10 = 7,821.02 : x
  2. Step 2: Convert to fraction form
    23,620.07/35,405.10 = 7,821.02/x
  3. Step 3: Cross multiply
    23,620.07x = 35,405.10 × 7,821.02
  4. Step 4: Simplify right side
    23,620.07x = 276,904,083.71
  5. Step 5: Solve for x
    x = 276,904,083.71/23,620.07
  6. Step 6: Final answer
    x = 11,723.25

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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.