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Finding the Fourth Proportional to 29,523.69, 40,743.67 and 17,585.40

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Solution

The fourth proportional to 29,523.69, 40,743.67 and 17,585.40 is: 24,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523.69 : 40,743.67 = 17,585.40 : x
  2. Step 2: Convert to fraction form
    29,523.69/40,743.67 = 17,585.40/x
  3. Step 3: Cross multiply
    29,523.69x = 40,743.67 × 17,585.40
  4. Step 4: Simplify right side
    29,523.69x = 716,493,734.42
  5. Step 5: Solve for x
    x = 716,493,734.42/29,523.69
  6. Step 6: Final answer
    x = 24,268.43

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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.