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Finding the Fourth Proportional to 12,708.41, 19,057.22 and 5,206.81

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Solution

The fourth proportional to 12,708.41, 19,057.22 and 5,206.81 is: 7,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.41 : 19,057.22 = 5,206.81 : x
  2. Step 2: Convert to fraction form
    12,708.41/19,057.22 = 5,206.81/x
  3. Step 3: Cross multiply
    12,708.41x = 19,057.22 × 5,206.81
  4. Step 4: Simplify right side
    12,708.41x = 99,227,202.35
  5. Step 5: Solve for x
    x = 99,227,202.35/12,708.41
  6. Step 6: Final answer
    x = 7,808.00

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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.