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Finding the Fourth Proportional to 16,783.59, 23,163.13 and 9,614.08

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Solution

The fourth proportional to 16,783.59, 23,163.13 and 9,614.08 is: 13,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.59 : 23,163.13 = 9,614.08 : x
  2. Step 2: Convert to fraction form
    16,783.59/23,163.13 = 9,614.08/x
  3. Step 3: Cross multiply
    16,783.59x = 23,163.13 × 9,614.08
  4. Step 4: Simplify right side
    16,783.59x = 222,692,184.87
  5. Step 5: Solve for x
    x = 222,692,184.87/16,783.59
  6. Step 6: Final answer
    x = 13,268.45

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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.