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Finding the Fourth Proportional to 22,792.74, 34,186.35 and 6,151.50

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Solution

The fourth proportional to 22,792.74, 34,186.35 and 6,151.50 is: 9,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.74 : 34,186.35 = 6,151.50 : x
  2. Step 2: Convert to fraction form
    22,792.74/34,186.35 = 6,151.50/x
  3. Step 3: Cross multiply
    22,792.74x = 34,186.35 × 6,151.50
  4. Step 4: Simplify right side
    22,792.74x = 210,297,332.03
  5. Step 5: Solve for x
    x = 210,297,332.03/22,792.74
  6. Step 6: Final answer
    x = 9,226.51

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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.