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Finding the Fourth Proportional to 15,771.68, 23,659.90 and 5,094.48

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Solution

The fourth proportional to 15,771.68, 23,659.90 and 5,094.48 is: 7,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.68 : 23,659.90 = 5,094.48 : x
  2. Step 2: Convert to fraction form
    15,771.68/23,659.90 = 5,094.48/x
  3. Step 3: Cross multiply
    15,771.68x = 23,659.90 × 5,094.48
  4. Step 4: Simplify right side
    15,771.68x = 120,534,769.60
  5. Step 5: Solve for x
    x = 120,534,769.60/15,771.68
  6. Step 6: Final answer
    x = 7,642.48

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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.