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Finding the Fourth Proportional to 16,297.49, 22,490.88 and 9,924.36

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Solution

The fourth proportional to 16,297.49, 22,490.88 and 9,924.36 is: 13,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.49 : 22,490.88 = 9,924.36 : x
  2. Step 2: Convert to fraction form
    16,297.49/22,490.88 = 9,924.36/x
  3. Step 3: Cross multiply
    16,297.49x = 22,490.88 × 9,924.36
  4. Step 4: Simplify right side
    16,297.49x = 223,207,589.84
  5. Step 5: Solve for x
    x = 223,207,589.84/16,297.49
  6. Step 6: Final answer
    x = 13,695.83

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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.