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Finding the Fourth Proportional to 12,400.96, 17,113.47 and 6,735.77

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Solution

The fourth proportional to 12,400.96, 17,113.47 and 6,735.77 is: 9,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.96 : 17,113.47 = 6,735.77 : x
  2. Step 2: Convert to fraction form
    12,400.96/17,113.47 = 6,735.77/x
  3. Step 3: Cross multiply
    12,400.96x = 17,113.47 × 6,735.77
  4. Step 4: Simplify right side
    12,400.96x = 115,272,397.82
  5. Step 5: Solve for x
    x = 115,272,397.82/12,400.96
  6. Step 6: Final answer
    x = 9,295.44

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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.