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Finding the Fourth Proportional to 23,810.84, 35,720.04 and 8,229.68

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Solution

The fourth proportional to 23,810.84, 35,720.04 and 8,229.68 is: 12,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.84 : 35,720.04 = 8,229.68 : x
  2. Step 2: Convert to fraction form
    23,810.84/35,720.04 = 8,229.68/x
  3. Step 3: Cross multiply
    23,810.84x = 35,720.04 × 8,229.68
  4. Step 4: Simplify right side
    23,810.84x = 293,964,498.79
  5. Step 5: Solve for x
    x = 293,964,498.79/23,810.84
  6. Step 6: Final answer
    x = 12,345.83

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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.