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Finding the Fourth Proportional to 14,052.56, 19,392.78 and 7,764.80

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Solution

The fourth proportional to 14,052.56, 19,392.78 and 7,764.80 is: 10,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.56 : 19,392.78 = 7,764.80 : x
  2. Step 2: Convert to fraction form
    14,052.56/19,392.78 = 7,764.80/x
  3. Step 3: Cross multiply
    14,052.56x = 19,392.78 × 7,764.80
  4. Step 4: Simplify right side
    14,052.56x = 150,581,058.14
  5. Step 5: Solve for x
    x = 150,581,058.14/14,052.56
  6. Step 6: Final answer
    x = 10,715.56

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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.