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Finding the Fourth Proportional to 30,226.95, 41,714.19 and 16,798.77

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Solution

The fourth proportional to 30,226.95, 41,714.19 and 16,798.77 is: 23,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.95 : 41,714.19 = 16,798.77 : x
  2. Step 2: Convert to fraction form
    30,226.95/41,714.19 = 16,798.77/x
  3. Step 3: Cross multiply
    30,226.95x = 41,714.19 × 16,798.77
  4. Step 4: Simplify right side
    30,226.95x = 700,747,083.55
  5. Step 5: Solve for x
    x = 700,747,083.55/30,226.95
  6. Step 6: Final answer
    x = 23,182.86

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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.