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Finding the Fourth Proportional to 12,566.70, 17,340.84 and 7,261.41

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Solution

The fourth proportional to 12,566.70, 17,340.84 and 7,261.41 is: 10,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.70 : 17,340.84 = 7,261.41 : x
  2. Step 2: Convert to fraction form
    12,566.70/17,340.84 = 7,261.41/x
  3. Step 3: Cross multiply
    12,566.70x = 17,340.84 × 7,261.41
  4. Step 4: Simplify right side
    12,566.70x = 125,918,948.98
  5. Step 5: Solve for x
    x = 125,918,948.98/12,566.70
  6. Step 6: Final answer
    x = 10,020.05

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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.