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Finding the Fourth Proportional to 12,771.47, 19,132.30 and 7,207.99

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Solution

The fourth proportional to 12,771.47, 19,132.30 and 7,207.99 is: 10,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.47 : 19,132.30 = 7,207.99 : x
  2. Step 2: Convert to fraction form
    12,771.47/19,132.30 = 7,207.99/x
  3. Step 3: Cross multiply
    12,771.47x = 19,132.30 × 7,207.99
  4. Step 4: Simplify right side
    12,771.47x = 137,905,388.26
  5. Step 5: Solve for x
    x = 137,905,388.26/12,771.47
  6. Step 6: Final answer
    x = 10,797.92

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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.