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Finding the Fourth Proportional to 23,402.68, 32,295.69 and 12,792.31

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Solution

The fourth proportional to 23,402.68, 32,295.69 and 12,792.31 is: 17,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.68 : 32,295.69 = 12,792.31 : x
  2. Step 2: Convert to fraction form
    23,402.68/32,295.69 = 12,792.31/x
  3. Step 3: Cross multiply
    23,402.68x = 32,295.69 × 12,792.31
  4. Step 4: Simplify right side
    23,402.68x = 413,136,397.40
  5. Step 5: Solve for x
    x = 413,136,397.40/23,402.68
  6. Step 6: Final answer
    x = 17,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.