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Finding the Fourth Proportional to 13,126.28, 19,672.80 and 5,728.76

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Solution

The fourth proportional to 13,126.28, 19,672.80 and 5,728.76 is: 8,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.28 : 19,672.80 = 5,728.76 : x
  2. Step 2: Convert to fraction form
    13,126.28/19,672.80 = 5,728.76/x
  3. Step 3: Cross multiply
    13,126.28x = 19,672.80 × 5,728.76
  4. Step 4: Simplify right side
    13,126.28x = 112,700,749.73
  5. Step 5: Solve for x
    x = 112,700,749.73/13,126.28
  6. Step 6: Final answer
    x = 8,585.89

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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.