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Finding the Fourth Proportional to 12,070.17, 16,657.53 and 6,766.68

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Solution

The fourth proportional to 12,070.17, 16,657.53 and 6,766.68 is: 9,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.17 : 16,657.53 = 6,766.68 : x
  2. Step 2: Convert to fraction form
    12,070.17/16,657.53 = 6,766.68/x
  3. Step 3: Cross multiply
    12,070.17x = 16,657.53 × 6,766.68
  4. Step 4: Simplify right side
    12,070.17x = 112,716,175.10
  5. Step 5: Solve for x
    x = 112,716,175.10/12,070.17
  6. Step 6: Final answer
    x = 9,338.41

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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.