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Finding the Fourth Proportional to 14,893.46, 22,306.17 and 7,107.74

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Solution

The fourth proportional to 14,893.46, 22,306.17 and 7,107.74 is: 10,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.46 : 22,306.17 = 7,107.74 : x
  2. Step 2: Convert to fraction form
    14,893.46/22,306.17 = 7,107.74/x
  3. Step 3: Cross multiply
    14,893.46x = 22,306.17 × 7,107.74
  4. Step 4: Simplify right side
    14,893.46x = 158,546,512.52
  5. Step 5: Solve for x
    x = 158,546,512.52/14,893.46
  6. Step 6: Final answer
    x = 10,645.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.