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Finding the Fourth Proportional to 14,538.96, 21,776.76 and 7,765.20

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Solution

The fourth proportional to 14,538.96, 21,776.76 and 7,765.20 is: 11,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.96 : 21,776.76 = 7,765.20 : x
  2. Step 2: Convert to fraction form
    14,538.96/21,776.76 = 7,765.20/x
  3. Step 3: Cross multiply
    14,538.96x = 21,776.76 × 7,765.20
  4. Step 4: Simplify right side
    14,538.96x = 169,100,896.75
  5. Step 5: Solve for x
    x = 169,100,896.75/14,538.96
  6. Step 6: Final answer
    x = 11,630.88

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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.