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Finding the Fourth Proportional to 12,657.60, 17,467.30 and 6,992.76

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Solution

The fourth proportional to 12,657.60, 17,467.30 and 6,992.76 is: 9,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.60 : 17,467.30 = 6,992.76 : x
  2. Step 2: Convert to fraction form
    12,657.60/17,467.30 = 6,992.76/x
  3. Step 3: Cross multiply
    12,657.60x = 17,467.30 × 6,992.76
  4. Step 4: Simplify right side
    12,657.60x = 122,144,634.81
  5. Step 5: Solve for x
    x = 122,144,634.81/12,657.60
  6. Step 6: Final answer
    x = 9,649.90

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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.