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Finding the Fourth Proportional to 12,538.58, 17,295.42 and 8,068.16

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Solution

The fourth proportional to 12,538.58, 17,295.42 and 8,068.16 is: 11,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.58 : 17,295.42 = 8,068.16 : x
  2. Step 2: Convert to fraction form
    12,538.58/17,295.42 = 8,068.16/x
  3. Step 3: Cross multiply
    12,538.58x = 17,295.42 × 8,068.16
  4. Step 4: Simplify right side
    12,538.58x = 139,542,215.83
  5. Step 5: Solve for x
    x = 139,542,215.83/12,538.58
  6. Step 6: Final answer
    x = 11,129.03

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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.