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Finding the Fourth Proportional to 16,534.50, 22,819.14 and 9,083.94

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Solution

The fourth proportional to 16,534.50, 22,819.14 and 9,083.94 is: 12,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.50 : 22,819.14 = 9,083.94 : x
  2. Step 2: Convert to fraction form
    16,534.50/22,819.14 = 9,083.94/x
  3. Step 3: Cross multiply
    16,534.50x = 22,819.14 × 9,083.94
  4. Step 4: Simplify right side
    16,534.50x = 207,287,698.61
  5. Step 5: Solve for x
    x = 207,287,698.61/16,534.50
  6. Step 6: Final answer
    x = 12,536.68

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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.