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Finding the Fourth Proportional to 13,704.77, 18,909.30 and 9,454.47

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Solution

The fourth proportional to 13,704.77, 18,909.30 and 9,454.47 is: 13,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.77 : 18,909.30 = 9,454.47 : x
  2. Step 2: Convert to fraction form
    13,704.77/18,909.30 = 9,454.47/x
  3. Step 3: Cross multiply
    13,704.77x = 18,909.30 × 9,454.47
  4. Step 4: Simplify right side
    13,704.77x = 178,777,409.57
  5. Step 5: Solve for x
    x = 178,777,409.57/13,704.77
  6. Step 6: Final answer
    x = 13,044.91

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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.