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Finding the Fourth Proportional to 12,808.31, 17,672.45 and 7,772.41

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Solution

The fourth proportional to 12,808.31, 17,672.45 and 7,772.41 is: 10,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.31 : 17,672.45 = 7,772.41 : x
  2. Step 2: Convert to fraction form
    12,808.31/17,672.45 = 7,772.41/x
  3. Step 3: Cross multiply
    12,808.31x = 17,672.45 × 7,772.41
  4. Step 4: Simplify right side
    12,808.31x = 137,357,554.05
  5. Step 5: Solve for x
    x = 137,357,554.05/12,808.31
  6. Step 6: Final answer
    x = 10,724.10

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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.