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Finding the Fourth Proportional to 23,633.65, 32,615.79 and 13,562

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Solution

The fourth proportional to 23,633.65, 32,615.79 and 13,562 is: 18,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.65 : 32,615.79 = 13,562 : x
  2. Step 2: Convert to fraction form
    23,633.65/32,615.79 = 13,562/x
  3. Step 3: Cross multiply
    23,633.65x = 32,615.79 × 13,562
  4. Step 4: Simplify right side
    23,633.65x = 442,335,343.98
  5. Step 5: Solve for x
    x = 442,335,343.98/23,633.65
  6. Step 6: Final answer
    x = 18,716.34

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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.