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Finding the Fourth Proportional to 16,498.80, 22,773.42 and 9,429.84

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Solution

The fourth proportional to 16,498.80, 22,773.42 and 9,429.84 is: 13,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.80 : 22,773.42 = 9,429.84 : x
  2. Step 2: Convert to fraction form
    16,498.80/22,773.42 = 9,429.84/x
  3. Step 3: Cross multiply
    16,498.80x = 22,773.42 × 9,429.84
  4. Step 4: Simplify right side
    16,498.80x = 214,749,706.85
  5. Step 5: Solve for x
    x = 214,749,706.85/16,498.80
  6. Step 6: Final answer
    x = 13,016.08

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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.