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Finding the Fourth Proportional to 15,771.24, 23,671.44 and 7,985.52

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Solution

The fourth proportional to 15,771.24, 23,671.44 and 7,985.52 is: 11,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.24 : 23,671.44 = 7,985.52 : x
  2. Step 2: Convert to fraction form
    15,771.24/23,671.44 = 7,985.52/x
  3. Step 3: Cross multiply
    15,771.24x = 23,671.44 × 7,985.52
  4. Step 4: Simplify right side
    15,771.24x = 189,028,757.55
  5. Step 5: Solve for x
    x = 189,028,757.55/15,771.24
  6. Step 6: Final answer
    x = 11,985.66

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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.