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Finding the Fourth Proportional to 16,507.48, 22,783.24 and 9,796.81

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Solution

The fourth proportional to 16,507.48, 22,783.24 and 9,796.81 is: 13,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.48 : 22,783.24 = 9,796.81 : x
  2. Step 2: Convert to fraction form
    16,507.48/22,783.24 = 9,796.81/x
  3. Step 3: Cross multiply
    16,507.48x = 22,783.24 × 9,796.81
  4. Step 4: Simplify right side
    16,507.48x = 223,203,073.46
  5. Step 5: Solve for x
    x = 223,203,073.46/16,507.48
  6. Step 6: Final answer
    x = 13,521.33

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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.