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Finding the Fourth Proportional to 12,031.80, 17,959.58 and 10,611.46

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Solution

The fourth proportional to 12,031.80, 17,959.58 and 10,611.46 is: 15,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.80 : 17,959.58 = 10,611.46 : x
  2. Step 2: Convert to fraction form
    12,031.80/17,959.58 = 10,611.46/x
  3. Step 3: Cross multiply
    12,031.80x = 17,959.58 × 10,611.46
  4. Step 4: Simplify right side
    12,031.80x = 190,577,439.41
  5. Step 5: Solve for x
    x = 190,577,439.41/12,031.80
  6. Step 6: Final answer
    x = 15,839.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.