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Finding the Fourth Proportional to 23,633.72, 32,613.30 and 13,023.08

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Solution

The fourth proportional to 23,633.72, 32,613.30 and 13,023.08 is: 17,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.72 : 32,613.30 = 13,023.08 : x
  2. Step 2: Convert to fraction form
    23,633.72/32,613.30 = 13,023.08/x
  3. Step 3: Cross multiply
    23,633.72x = 32,613.30 × 13,023.08
  4. Step 4: Simplify right side
    23,633.72x = 424,725,614.96
  5. Step 5: Solve for x
    x = 424,725,614.96/23,633.72
  6. Step 6: Final answer
    x = 17,971.17

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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.