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Finding the Fourth Proportional to 23,414.96, 32,310.96 and 12,802.34

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Solution

The fourth proportional to 23,414.96, 32,310.96 and 12,802.34 is: 17,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.96 : 32,310.96 = 12,802.34 : x
  2. Step 2: Convert to fraction form
    23,414.96/32,310.96 = 12,802.34/x
  3. Step 3: Cross multiply
    23,414.96x = 32,310.96 × 12,802.34
  4. Step 4: Simplify right side
    23,414.96x = 413,655,895.65
  5. Step 5: Solve for x
    x = 413,655,895.65/23,414.96
  6. Step 6: Final answer
    x = 17,666.31

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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.