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Finding the Fourth Proportional to 12,177.81, 16,788.65 and 7,699.32

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Solution

The fourth proportional to 12,177.81, 16,788.65 and 7,699.32 is: 10,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.81 : 16,788.65 = 7,699.32 : x
  2. Step 2: Convert to fraction form
    12,177.81/16,788.65 = 7,699.32/x
  3. Step 3: Cross multiply
    12,177.81x = 16,788.65 × 7,699.32
  4. Step 4: Simplify right side
    12,177.81x = 129,261,150.22
  5. Step 5: Solve for x
    x = 129,261,150.22/12,177.81
  6. Step 6: Final answer
    x = 10,614.48

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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.