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Finding the Fourth Proportional to 14,052.24, 19,391.76 and 7,764.48

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Solution

The fourth proportional to 14,052.24, 19,391.76 and 7,764.48 is: 10,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.24 : 19,391.76 = 7,764.48 : x
  2. Step 2: Convert to fraction form
    14,052.24/19,391.76 = 7,764.48/x
  3. Step 3: Cross multiply
    14,052.24x = 19,391.76 × 7,764.48
  4. Step 4: Simplify right side
    14,052.24x = 150,566,932.68
  5. Step 5: Solve for x
    x = 150,566,932.68/14,052.24
  6. Step 6: Final answer
    x = 10,714.80

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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.