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Finding the Fourth Proportional to 12,971.28, 19,475.19 and 6,650.76

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Solution

The fourth proportional to 12,971.28, 19,475.19 and 6,650.76 is: 9,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.28 : 19,475.19 = 6,650.76 : x
  2. Step 2: Convert to fraction form
    12,971.28/19,475.19 = 6,650.76/x
  3. Step 3: Cross multiply
    12,971.28x = 19,475.19 × 6,650.76
  4. Step 4: Simplify right side
    12,971.28x = 129,524,814.64
  5. Step 5: Solve for x
    x = 129,524,814.64/12,971.28
  6. Step 6: Final answer
    x = 9,985.51

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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.