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Finding the Fourth Proportional to 16,239.21, 22,409.68 and 9,165.58

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Solution

The fourth proportional to 16,239.21, 22,409.68 and 9,165.58 is: 12,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.21 : 22,409.68 = 9,165.58 : x
  2. Step 2: Convert to fraction form
    16,239.21/22,409.68 = 9,165.58/x
  3. Step 3: Cross multiply
    16,239.21x = 22,409.68 × 9,165.58
  4. Step 4: Simplify right side
    16,239.21x = 205,397,714.81
  5. Step 5: Solve for x
    x = 205,397,714.81/16,239.21
  6. Step 6: Final answer
    x = 12,648.26

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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.