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Finding the Fourth Proportional to 22,696.74, 34,046.19 and 7,114.50

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Solution

The fourth proportional to 22,696.74, 34,046.19 and 7,114.50 is: 10,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.74 : 34,046.19 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    22,696.74/34,046.19 = 7,114.50/x
  3. Step 3: Cross multiply
    22,696.74x = 34,046.19 × 7,114.50
  4. Step 4: Simplify right side
    22,696.74x = 242,221,618.76
  5. Step 5: Solve for x
    x = 242,221,618.76/22,696.74
  6. Step 6: Final answer
    x = 10,672.09

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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.