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Finding the Fourth Proportional to 16,514.21, 22,784.04 and 9,435.62

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Solution

The fourth proportional to 16,514.21, 22,784.04 and 9,435.62 is: 13,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.21 : 22,784.04 = 9,435.62 : x
  2. Step 2: Convert to fraction form
    16,514.21/22,784.04 = 9,435.62/x
  3. Step 3: Cross multiply
    16,514.21x = 22,784.04 × 9,435.62
  4. Step 4: Simplify right side
    16,514.21x = 214,981,429.58
  5. Step 5: Solve for x
    x = 214,981,429.58/16,514.21
  6. Step 6: Final answer
    x = 13,017.97

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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.