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Finding the Fourth Proportional to 23,407.34, 32,302.13 and 12,796.97

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Solution

The fourth proportional to 23,407.34, 32,302.13 and 12,796.97 is: 17,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.34 : 32,302.13 = 12,796.97 : x
  2. Step 2: Convert to fraction form
    23,407.34/32,302.13 = 12,796.97/x
  3. Step 3: Cross multiply
    23,407.34x = 32,302.13 × 12,796.97
  4. Step 4: Simplify right side
    23,407.34x = 413,369,284.18
  5. Step 5: Solve for x
    x = 413,369,284.18/23,407.34
  6. Step 6: Final answer
    x = 17,659.82

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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.