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Finding the Fourth Proportional to 22,684.50, 34,026.75 and 7,102.53

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Solution

The fourth proportional to 22,684.50, 34,026.75 and 7,102.53 is: 10,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.50 : 34,026.75 = 7,102.53 : x
  2. Step 2: Convert to fraction form
    22,684.50/34,026.75 = 7,102.53/x
  3. Step 3: Cross multiply
    22,684.50x = 34,026.75 × 7,102.53
  4. Step 4: Simplify right side
    22,684.50x = 241,676,012.68
  5. Step 5: Solve for x
    x = 241,676,012.68/22,684.50
  6. Step 6: Final answer
    x = 10,653.80

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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.