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Finding the Fourth Proportional to 12,705.10, 19,057.77 and 5,206.73

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Solution

The fourth proportional to 12,705.10, 19,057.77 and 5,206.73 is: 7,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.10 : 19,057.77 = 5,206.73 : x
  2. Step 2: Convert to fraction form
    12,705.10/19,057.77 = 5,206.73/x
  3. Step 3: Cross multiply
    12,705.10x = 19,057.77 × 5,206.73
  4. Step 4: Simplify right side
    12,705.10x = 99,228,667.38
  5. Step 5: Solve for x
    x = 99,228,667.38/12,705.10
  6. Step 6: Final answer
    x = 7,810.15

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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.