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Finding the Fourth Proportional to 24,809.32, 34,235.94 and 14,198.68

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Solution

The fourth proportional to 24,809.32, 34,235.94 and 14,198.68 is: 19,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.32 : 34,235.94 = 14,198.68 : x
  2. Step 2: Convert to fraction form
    24,809.32/34,235.94 = 14,198.68/x
  3. Step 3: Cross multiply
    24,809.32x = 34,235.94 × 14,198.68
  4. Step 4: Simplify right side
    24,809.32x = 486,105,156.56
  5. Step 5: Solve for x
    x = 486,105,156.56/24,809.32
  6. Step 6: Final answer
    x = 19,593.65

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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.