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Finding the Fourth Proportional to 12,800.13, 17,657.37 and 8,823.30

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Solution

The fourth proportional to 12,800.13, 17,657.37 and 8,823.30 is: 12,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.13 : 17,657.37 = 8,823.30 : x
  2. Step 2: Convert to fraction form
    12,800.13/17,657.37 = 8,823.30/x
  3. Step 3: Cross multiply
    12,800.13x = 17,657.37 × 8,823.30
  4. Step 4: Simplify right side
    12,800.13x = 155,796,272.72
  5. Step 5: Solve for x
    x = 155,796,272.72/12,800.13
  6. Step 6: Final answer
    x = 12,171.46

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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.