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Finding the Fourth Proportional to 16,494.39, 22,761.69 and 9,776.03

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Solution

The fourth proportional to 16,494.39, 22,761.69 and 9,776.03 is: 13,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.39 : 22,761.69 = 9,776.03 : x
  2. Step 2: Convert to fraction form
    16,494.39/22,761.69 = 9,776.03/x
  3. Step 3: Cross multiply
    16,494.39x = 22,761.69 × 9,776.03
  4. Step 4: Simplify right side
    16,494.39x = 222,518,964.29
  5. Step 5: Solve for x
    x = 222,518,964.29/16,494.39
  6. Step 6: Final answer
    x = 13,490.58

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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.