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Finding the Fourth Proportional to 16,497.72, 22,765.59 and 9,782.82

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Solution

The fourth proportional to 16,497.72, 22,765.59 and 9,782.82 is: 13,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.72 : 22,765.59 = 9,782.82 : x
  2. Step 2: Convert to fraction form
    16,497.72/22,765.59 = 9,782.82/x
  3. Step 3: Cross multiply
    16,497.72x = 22,765.59 × 9,782.82
  4. Step 4: Simplify right side
    16,497.72x = 222,711,669.16
  5. Step 5: Solve for x
    x = 222,711,669.16/16,497.72
  6. Step 6: Final answer
    x = 13,499.54

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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.