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Finding the Fourth Proportional to 13,760.66, 18,995.51 and 9,290.46

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Solution

The fourth proportional to 13,760.66, 18,995.51 and 9,290.46 is: 12,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.66 : 18,995.51 = 9,290.46 : x
  2. Step 2: Convert to fraction form
    13,760.66/18,995.51 = 9,290.46/x
  3. Step 3: Cross multiply
    13,760.66x = 18,995.51 × 9,290.46
  4. Step 4: Simplify right side
    13,760.66x = 176,477,049.06
  5. Step 5: Solve for x
    x = 176,477,049.06/13,760.66
  6. Step 6: Final answer
    x = 12,824.76

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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.