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Finding the Fourth Proportional to 23,412.62, 32,309.21 and 12,802.33

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Solution

The fourth proportional to 23,412.62, 32,309.21 and 12,802.33 is: 17,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.62 : 32,309.21 = 12,802.33 : x
  2. Step 2: Convert to fraction form
    23,412.62/32,309.21 = 12,802.33/x
  3. Step 3: Cross multiply
    23,412.62x = 32,309.21 × 12,802.33
  4. Step 4: Simplify right side
    23,412.62x = 413,633,240.85
  5. Step 5: Solve for x
    x = 413,633,240.85/23,412.62
  6. Step 6: Final answer
    x = 17,667.10

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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.