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Finding the Fourth Proportional to 16,501.82, 22,765.13 and 9,787.73

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Solution

The fourth proportional to 16,501.82, 22,765.13 and 9,787.73 is: 13,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.82 : 22,765.13 = 9,787.73 : x
  2. Step 2: Convert to fraction form
    16,501.82/22,765.13 = 9,787.73/x
  3. Step 3: Cross multiply
    16,501.82x = 22,765.13 × 9,787.73
  4. Step 4: Simplify right side
    16,501.82x = 222,818,945.85
  5. Step 5: Solve for x
    x = 222,818,945.85/16,501.82
  6. Step 6: Final answer
    x = 13,502.69

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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.