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Finding the Fourth Proportional to 16,407.64, 22,661.43 and 11,951.32

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Solution

The fourth proportional to 16,407.64, 22,661.43 and 11,951.32 is: 16,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.64 : 22,661.43 = 11,951.32 : x
  2. Step 2: Convert to fraction form
    16,407.64/22,661.43 = 11,951.32/x
  3. Step 3: Cross multiply
    16,407.64x = 22,661.43 × 11,951.32
  4. Step 4: Simplify right side
    16,407.64x = 270,834,001.59
  5. Step 5: Solve for x
    x = 270,834,001.59/16,407.64
  6. Step 6: Final answer
    x = 16,506.58

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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.