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Finding the Fourth Proportional to 18,122.32, 27,281.50 and 12,964.24

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Solution

The fourth proportional to 18,122.32, 27,281.50 and 12,964.24 is: 19,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.32 : 27,281.50 = 12,964.24 : x
  2. Step 2: Convert to fraction form
    18,122.32/27,281.50 = 12,964.24/x
  3. Step 3: Cross multiply
    18,122.32x = 27,281.50 × 12,964.24
  4. Step 4: Simplify right side
    18,122.32x = 353,683,913.56
  5. Step 5: Solve for x
    x = 353,683,913.56/18,122.32
  6. Step 6: Final answer
    x = 19,516.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.