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Finding the Fourth Proportional to 23,305.29, 32,163.55 and 14,358.03

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Solution

The fourth proportional to 23,305.29, 32,163.55 and 14,358.03 is: 19,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.29 : 32,163.55 = 14,358.03 : x
  2. Step 2: Convert to fraction form
    23,305.29/32,163.55 = 14,358.03/x
  3. Step 3: Cross multiply
    23,305.29x = 32,163.55 × 14,358.03
  4. Step 4: Simplify right side
    23,305.29x = 461,805,059.30
  5. Step 5: Solve for x
    x = 461,805,059.30/23,305.29
  6. Step 6: Final answer
    x = 19,815.46

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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.