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Finding the Fourth Proportional to 16,600.29, 22,907.83 and 9,046.47

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Solution

The fourth proportional to 16,600.29, 22,907.83 and 9,046.47 is: 12,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.29 : 22,907.83 = 9,046.47 : x
  2. Step 2: Convert to fraction form
    16,600.29/22,907.83 = 9,046.47/x
  3. Step 3: Cross multiply
    16,600.29x = 22,907.83 × 9,046.47
  4. Step 4: Simplify right side
    16,600.29x = 207,234,948.25
  5. Step 5: Solve for x
    x = 207,234,948.25/16,600.29
  6. Step 6: Final answer
    x = 12,483.81

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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.