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Finding the Fourth Proportional to 23,633.34, 32,614.70 and 13,023.66

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Solution

The fourth proportional to 23,633.34, 32,614.70 and 13,023.66 is: 17,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.34 : 32,614.70 = 13,023.66 : x
  2. Step 2: Convert to fraction form
    23,633.34/32,614.70 = 13,023.66/x
  3. Step 3: Cross multiply
    23,633.34x = 32,614.70 × 13,023.66
  4. Step 4: Simplify right side
    23,633.34x = 424,762,747.52
  5. Step 5: Solve for x
    x = 424,762,747.52/23,633.34
  6. Step 6: Final answer
    x = 17,973.03

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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.