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Finding the Fourth Proportional to 15,771.70, 23,652.69 and 5,239.47

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Solution

The fourth proportional to 15,771.70, 23,652.69 and 5,239.47 is: 7,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.70 : 23,652.69 = 5,239.47 : x
  2. Step 2: Convert to fraction form
    15,771.70/23,652.69 = 5,239.47/x
  3. Step 3: Cross multiply
    15,771.70x = 23,652.69 × 5,239.47
  4. Step 4: Simplify right side
    15,771.70x = 123,927,559.67
  5. Step 5: Solve for x
    x = 123,927,559.67/15,771.70
  6. Step 6: Final answer
    x = 7,857.59

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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.