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Finding the Fourth Proportional to 13,271.82, 19,911.82 and 7,432.56

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Solution

The fourth proportional to 13,271.82, 19,911.82 and 7,432.56 is: 11,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.82 : 19,911.82 = 7,432.56 : x
  2. Step 2: Convert to fraction form
    13,271.82/19,911.82 = 7,432.56/x
  3. Step 3: Cross multiply
    13,271.82x = 19,911.82 × 7,432.56
  4. Step 4: Simplify right side
    13,271.82x = 147,995,796.86
  5. Step 5: Solve for x
    x = 147,995,796.86/13,271.82
  6. Step 6: Final answer
    x = 11,151.13

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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.