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Finding the Fourth Proportional to 23,701.86, 32,710.29 and 13,633.46

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Solution

The fourth proportional to 23,701.86, 32,710.29 and 13,633.46 is: 18,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.86 : 32,710.29 = 13,633.46 : x
  2. Step 2: Convert to fraction form
    23,701.86/32,710.29 = 13,633.46/x
  3. Step 3: Cross multiply
    23,701.86x = 32,710.29 × 13,633.46
  4. Step 4: Simplify right side
    23,701.86x = 445,954,338.29
  5. Step 5: Solve for x
    x = 445,954,338.29/23,701.86
  6. Step 6: Final answer
    x = 18,815.16

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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.