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Finding the Fourth Proportional to 12,570.07, 18,761.05 and 12,362.49

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Solution

The fourth proportional to 12,570.07, 18,761.05 and 12,362.49 is: 18,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.07 : 18,761.05 = 12,362.49 : x
  2. Step 2: Convert to fraction form
    12,570.07/18,761.05 = 12,362.49/x
  3. Step 3: Cross multiply
    12,570.07x = 18,761.05 × 12,362.49
  4. Step 4: Simplify right side
    12,570.07x = 231,933,293.01
  5. Step 5: Solve for x
    x = 231,933,293.01/12,570.07
  6. Step 6: Final answer
    x = 18,451.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.