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Finding the Fourth Proportional to 12,093.24, 16,688.64 and 6,788.58

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Solution

The fourth proportional to 12,093.24, 16,688.64 and 6,788.58 is: 9,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.24 : 16,688.64 = 6,788.58 : x
  2. Step 2: Convert to fraction form
    12,093.24/16,688.64 = 6,788.58/x
  3. Step 3: Cross multiply
    12,093.24x = 16,688.64 × 6,788.58
  4. Step 4: Simplify right side
    12,093.24x = 113,292,167.73
  5. Step 5: Solve for x
    x = 113,292,167.73/12,093.24
  6. Step 6: Final answer
    x = 9,368.22

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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.