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Finding the Fourth Proportional to 23,613.58, 32,586.58 and 13,003.13

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Solution

The fourth proportional to 23,613.58, 32,586.58 and 13,003.13 is: 17,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.58 : 32,586.58 = 13,003.13 : x
  2. Step 2: Convert to fraction form
    23,613.58/32,586.58 = 13,003.13/x
  3. Step 3: Cross multiply
    23,613.58x = 32,586.58 × 13,003.13
  4. Step 4: Simplify right side
    23,613.58x = 423,727,308.05
  5. Step 5: Solve for x
    x = 423,727,308.05/23,613.58
  6. Step 6: Final answer
    x = 17,944.22

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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.