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Finding the Fourth Proportional to 12,656.76, 17,465.98 and 6,991.92

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Solution

The fourth proportional to 12,656.76, 17,465.98 and 6,991.92 is: 9,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.76 : 17,465.98 = 6,991.92 : x
  2. Step 2: Convert to fraction form
    12,656.76/17,465.98 = 6,991.92/x
  3. Step 3: Cross multiply
    12,656.76x = 17,465.98 × 6,991.92
  4. Step 4: Simplify right side
    12,656.76x = 122,120,734.88
  5. Step 5: Solve for x
    x = 122,120,734.88/12,656.76
  6. Step 6: Final answer
    x = 9,648.66

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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.