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Finding the Fourth Proportional to 12,562.50, 18,862.24 and 7,026.68

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Solution

The fourth proportional to 12,562.50, 18,862.24 and 7,026.68 is: 10,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.50 : 18,862.24 = 7,026.68 : x
  2. Step 2: Convert to fraction form
    12,562.50/18,862.24 = 7,026.68/x
  3. Step 3: Cross multiply
    12,562.50x = 18,862.24 × 7,026.68
  4. Step 4: Simplify right side
    12,562.50x = 132,538,924.56
  5. Step 5: Solve for x
    x = 132,538,924.56/12,562.50
  6. Step 6: Final answer
    x = 10,550.36

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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.