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Finding the Fourth Proportional to 16,003.49, 22,077.65 and 9,285.21

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Solution

The fourth proportional to 16,003.49, 22,077.65 and 9,285.21 is: 12,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.49 : 22,077.65 = 9,285.21 : x
  2. Step 2: Convert to fraction form
    16,003.49/22,077.65 = 9,285.21/x
  3. Step 3: Cross multiply
    16,003.49x = 22,077.65 × 9,285.21
  4. Step 4: Simplify right side
    16,003.49x = 204,995,639.77
  5. Step 5: Solve for x
    x = 204,995,639.77/16,003.49
  6. Step 6: Final answer
    x = 12,809.44

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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.