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Finding the Fourth Proportional to 12,767.10, 19,150.65 and 6,206.10

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Solution

The fourth proportional to 12,767.10, 19,150.65 and 6,206.10 is: 9,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.10 : 19,150.65 = 6,206.10 : x
  2. Step 2: Convert to fraction form
    12,767.10/19,150.65 = 6,206.10/x
  3. Step 3: Cross multiply
    12,767.10x = 19,150.65 × 6,206.10
  4. Step 4: Simplify right side
    12,767.10x = 118,850,848.97
  5. Step 5: Solve for x
    x = 118,850,848.97/12,767.10
  6. Step 6: Final answer
    x = 9,309.15

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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.