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Finding the Fourth Proportional to 30,257.50, 41,752.14 and 16,826.58

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Solution

The fourth proportional to 30,257.50, 41,752.14 and 16,826.58 is: 23,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.50 : 41,752.14 = 16,826.58 : x
  2. Step 2: Convert to fraction form
    30,257.50/41,752.14 = 16,826.58/x
  3. Step 3: Cross multiply
    30,257.50x = 41,752.14 × 16,826.58
  4. Step 4: Simplify right side
    30,257.50x = 702,545,723.88
  5. Step 5: Solve for x
    x = 702,545,723.88/30,257.50
  6. Step 6: Final answer
    x = 23,218.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.