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Finding the Fourth Proportional to 24,554.31, 36,806.81 and 7,902.11

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Solution

The fourth proportional to 24,554.31, 36,806.81 and 7,902.11 is: 11,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,554.31 : 36,806.81 = 7,902.11 : x
  2. Step 2: Convert to fraction form
    24,554.31/36,806.81 = 7,902.11/x
  3. Step 3: Cross multiply
    24,554.31x = 36,806.81 × 7,902.11
  4. Step 4: Simplify right side
    24,554.31x = 290,851,237.82
  5. Step 5: Solve for x
    x = 290,851,237.82/24,554.31
  6. Step 6: Final answer
    x = 11,845.22

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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.