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Finding the Fourth Proportional to 14,821.49, 22,198.84 and 10,398.86

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Solution

The fourth proportional to 14,821.49, 22,198.84 and 10,398.86 is: 15,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.49 : 22,198.84 = 10,398.86 : x
  2. Step 2: Convert to fraction form
    14,821.49/22,198.84 = 10,398.86/x
  3. Step 3: Cross multiply
    14,821.49x = 22,198.84 × 10,398.86
  4. Step 4: Simplify right side
    14,821.49x = 230,842,758.94
  5. Step 5: Solve for x
    x = 230,842,758.94/14,821.49
  6. Step 6: Final answer
    x = 15,574.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.