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Finding the Fourth Proportional to 12,807.60, 17,671.82 and 7,774.47

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Solution

The fourth proportional to 12,807.60, 17,671.82 and 7,774.47 is: 10,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.60 : 17,671.82 = 7,774.47 : x
  2. Step 2: Convert to fraction form
    12,807.60/17,671.82 = 7,774.47/x
  3. Step 3: Cross multiply
    12,807.60x = 17,671.82 × 7,774.47
  4. Step 4: Simplify right side
    12,807.60x = 137,388,995.56
  5. Step 5: Solve for x
    x = 137,388,995.56/12,807.60
  6. Step 6: Final answer
    x = 10,727.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.