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Finding the Fourth Proportional to 24,608.80, 36,918.05 and 9,026.56

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Solution

The fourth proportional to 24,608.80, 36,918.05 and 9,026.56 is: 13,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.80 : 36,918.05 = 9,026.56 : x
  2. Step 2: Convert to fraction form
    24,608.80/36,918.05 = 9,026.56/x
  3. Step 3: Cross multiply
    24,608.80x = 36,918.05 × 9,026.56
  4. Step 4: Simplify right side
    24,608.80x = 333,242,993.41
  5. Step 5: Solve for x
    x = 333,242,993.41/24,608.80
  6. Step 6: Final answer
    x = 13,541.62

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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.