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Finding the Fourth Proportional to 15,777.68, 23,669.40 and 5,390.48

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Solution

The fourth proportional to 15,777.68, 23,669.40 and 5,390.48 is: 8,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.68 : 23,669.40 = 5,390.48 : x
  2. Step 2: Convert to fraction form
    15,777.68/23,669.40 = 5,390.48/x
  3. Step 3: Cross multiply
    15,777.68x = 23,669.40 × 5,390.48
  4. Step 4: Simplify right side
    15,777.68x = 127,589,427.31
  5. Step 5: Solve for x
    x = 127,589,427.31/15,777.68
  6. Step 6: Final answer
    x = 8,086.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.