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Finding the Fourth Proportional to 13,323.36, 18,385.92 and 7,734

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Solution

The fourth proportional to 13,323.36, 18,385.92 and 7,734 is: 10,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.36 : 18,385.92 = 7,734 : x
  2. Step 2: Convert to fraction form
    13,323.36/18,385.92 = 7,734/x
  3. Step 3: Cross multiply
    13,323.36x = 18,385.92 × 7,734
  4. Step 4: Simplify right side
    13,323.36x = 142,196,705.28
  5. Step 5: Solve for x
    x = 142,196,705.28/13,323.36
  6. Step 6: Final answer
    x = 10,672.74

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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.