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Finding the Fourth Proportional to 12,767.56, 19,169.28 and 6,532.05

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Solution

The fourth proportional to 12,767.56, 19,169.28 and 6,532.05 is: 9,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.56 : 19,169.28 = 6,532.05 : x
  2. Step 2: Convert to fraction form
    12,767.56/19,169.28 = 6,532.05/x
  3. Step 3: Cross multiply
    12,767.56x = 19,169.28 × 6,532.05
  4. Step 4: Simplify right side
    12,767.56x = 125,214,599.58
  5. Step 5: Solve for x
    x = 125,214,599.58/12,767.56
  6. Step 6: Final answer
    x = 9,807.25

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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.