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Finding the Fourth Proportional to 12,808.59, 17,672.84 and 7,772.69

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Solution

The fourth proportional to 12,808.59, 17,672.84 and 7,772.69 is: 10,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.59 : 17,672.84 = 7,772.69 : x
  2. Step 2: Convert to fraction form
    12,808.59/17,672.84 = 7,772.69/x
  3. Step 3: Cross multiply
    12,808.59x = 17,672.84 × 7,772.69
  4. Step 4: Simplify right side
    12,808.59x = 137,365,563.07
  5. Step 5: Solve for x
    x = 137,365,563.07/12,808.59
  6. Step 6: Final answer
    x = 10,724.49

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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.