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Finding the Fourth Proportional to 16,535.63, 22,819.17 and 9,083.63

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Solution

The fourth proportional to 16,535.63, 22,819.17 and 9,083.63 is: 12,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.63 : 22,819.17 = 9,083.63 : x
  2. Step 2: Convert to fraction form
    16,535.63/22,819.17 = 9,083.63/x
  3. Step 3: Cross multiply
    16,535.63x = 22,819.17 × 9,083.63
  4. Step 4: Simplify right side
    16,535.63x = 207,280,897.19
  5. Step 5: Solve for x
    x = 207,280,897.19/16,535.63
  6. Step 6: Final answer
    x = 12,535.41

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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.