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Finding the Fourth Proportional to 23,633.67, 32,613.12 and 13,561.14

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Solution

The fourth proportional to 23,633.67, 32,613.12 and 13,561.14 is: 18,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.67 : 32,613.12 = 13,561.14 : x
  2. Step 2: Convert to fraction form
    23,633.67/32,613.12 = 13,561.14/x
  3. Step 3: Cross multiply
    23,633.67x = 32,613.12 × 13,561.14
  4. Step 4: Simplify right side
    23,633.67x = 442,271,086.16
  5. Step 5: Solve for x
    x = 442,271,086.16/23,633.67
  6. Step 6: Final answer
    x = 18,713.60

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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.