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Finding the Fourth Proportional to 16,499.02, 22,764.32 and 9,786.14

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Solution

The fourth proportional to 16,499.02, 22,764.32 and 9,786.14 is: 13,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.02 : 22,764.32 = 9,786.14 : x
  2. Step 2: Convert to fraction form
    16,499.02/22,764.32 = 9,786.14/x
  3. Step 3: Cross multiply
    16,499.02x = 22,764.32 × 9,786.14
  4. Step 4: Simplify right side
    16,499.02x = 222,774,822.52
  5. Step 5: Solve for x
    x = 222,774,822.52/16,499.02
  6. Step 6: Final answer
    x = 13,502.31

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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.