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Finding the Fourth Proportional to 23,792.50, 35,691.18 and 8,210.08

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Solution

The fourth proportional to 23,792.50, 35,691.18 and 8,210.08 is: 12,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.50 : 35,691.18 = 8,210.08 : x
  2. Step 2: Convert to fraction form
    23,792.50/35,691.18 = 8,210.08/x
  3. Step 3: Cross multiply
    23,792.50x = 35,691.18 × 8,210.08
  4. Step 4: Simplify right side
    23,792.50x = 293,027,443.09
  5. Step 5: Solve for x
    x = 293,027,443.09/23,792.50
  6. Step 6: Final answer
    x = 12,315.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.