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Finding the Fourth Proportional to 12,838.40, 17,707.52 and 8,118.12

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Solution

The fourth proportional to 12,838.40, 17,707.52 and 8,118.12 is: 11,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.40 : 17,707.52 = 8,118.12 : x
  2. Step 2: Convert to fraction form
    12,838.40/17,707.52 = 8,118.12/x
  3. Step 3: Cross multiply
    12,838.40x = 17,707.52 × 8,118.12
  4. Step 4: Simplify right side
    12,838.40x = 143,751,772.26
  5. Step 5: Solve for x
    x = 143,751,772.26/12,838.40
  6. Step 6: Final answer
    x = 11,197.02

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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.