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Finding the Fourth Proportional to 16,642.98, 24,964.98 and 7,278.18

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Solution

The fourth proportional to 16,642.98, 24,964.98 and 7,278.18 is: 10,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.98 : 24,964.98 = 7,278.18 : x
  2. Step 2: Convert to fraction form
    16,642.98/24,964.98 = 7,278.18/x
  3. Step 3: Cross multiply
    16,642.98x = 24,964.98 × 7,278.18
  4. Step 4: Simplify right side
    16,642.98x = 181,699,493.31
  5. Step 5: Solve for x
    x = 181,699,493.31/16,642.98
  6. Step 6: Final answer
    x = 10,917.49

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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.