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Finding the Fourth Proportional to 12,720.10, 19,074.73 and 6,875.14

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Solution

The fourth proportional to 12,720.10, 19,074.73 and 6,875.14 is: 10,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.10 : 19,074.73 = 6,875.14 : x
  2. Step 2: Convert to fraction form
    12,720.10/19,074.73 = 6,875.14/x
  3. Step 3: Cross multiply
    12,720.10x = 19,074.73 × 6,875.14
  4. Step 4: Simplify right side
    12,720.10x = 131,141,439.21
  5. Step 5: Solve for x
    x = 131,141,439.21/12,720.10
  6. Step 6: Final answer
    x = 10,309.78

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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.