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Finding the Fourth Proportional to 23,406.86, 32,302.04 and 12,797.28

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Solution

The fourth proportional to 23,406.86, 32,302.04 and 12,797.28 is: 17,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.86 : 32,302.04 = 12,797.28 : x
  2. Step 2: Convert to fraction form
    23,406.86/32,302.04 = 12,797.28/x
  3. Step 3: Cross multiply
    23,406.86x = 32,302.04 × 12,797.28
  4. Step 4: Simplify right side
    23,406.86x = 413,378,024.95
  5. Step 5: Solve for x
    x = 413,378,024.95/23,406.86
  6. Step 6: Final answer
    x = 17,660.55

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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.