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Finding the Fourth Proportional to 13,172.42, 19,753.47 and 5,771.71

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Solution

The fourth proportional to 13,172.42, 19,753.47 and 5,771.71 is: 8,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.42 : 19,753.47 = 5,771.71 : x
  2. Step 2: Convert to fraction form
    13,172.42/19,753.47 = 5,771.71/x
  3. Step 3: Cross multiply
    13,172.42x = 19,753.47 × 5,771.71
  4. Step 4: Simplify right side
    13,172.42x = 114,011,213.91
  5. Step 5: Solve for x
    x = 114,011,213.91/13,172.42
  6. Step 6: Final answer
    x = 8,655.30

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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.