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Finding the Fourth Proportional to 15,770.68, 21,740.92 and 12,407.66

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Solution

The fourth proportional to 15,770.68, 21,740.92 and 12,407.66 is: 17,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.68 : 21,740.92 = 12,407.66 : x
  2. Step 2: Convert to fraction form
    15,770.68/21,740.92 = 12,407.66/x
  3. Step 3: Cross multiply
    15,770.68x = 21,740.92 × 12,407.66
  4. Step 4: Simplify right side
    15,770.68x = 269,753,943.45
  5. Step 5: Solve for x
    x = 269,753,943.45/15,770.68
  6. Step 6: Final answer
    x = 17,104.78

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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.