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Finding the Fourth Proportional to 12,011.71, 16,576.15 and 6,706.53

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Solution

The fourth proportional to 12,011.71, 16,576.15 and 6,706.53 is: 9,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.71 : 16,576.15 = 6,706.53 : x
  2. Step 2: Convert to fraction form
    12,011.71/16,576.15 = 6,706.53/x
  3. Step 3: Cross multiply
    12,011.71x = 16,576.15 × 6,706.53
  4. Step 4: Simplify right side
    12,011.71x = 111,168,447.26
  5. Step 5: Solve for x
    x = 111,168,447.26/12,011.71
  6. Step 6: Final answer
    x = 9,255.01

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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.