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Finding the Fourth Proportional to 16,671.72, 23,006.12 and 9,116.58

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Solution

The fourth proportional to 16,671.72, 23,006.12 and 9,116.58 is: 12,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,671.72 : 23,006.12 = 9,116.58 : x
  2. Step 2: Convert to fraction form
    16,671.72/23,006.12 = 9,116.58/x
  3. Step 3: Cross multiply
    16,671.72x = 23,006.12 × 9,116.58
  4. Step 4: Simplify right side
    16,671.72x = 209,737,087.89
  5. Step 5: Solve for x
    x = 209,737,087.89/16,671.72
  6. Step 6: Final answer
    x = 12,580.41

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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.