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Finding the Fourth Proportional to 23,137.66, 34,707.71 and 7,343.88

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Solution

The fourth proportional to 23,137.66, 34,707.71 and 7,343.88 is: 11,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.66 : 34,707.71 = 7,343.88 : x
  2. Step 2: Convert to fraction form
    23,137.66/34,707.71 = 7,343.88/x
  3. Step 3: Cross multiply
    23,137.66x = 34,707.71 × 7,343.88
  4. Step 4: Simplify right side
    23,137.66x = 254,889,257.31
  5. Step 5: Solve for x
    x = 254,889,257.31/23,137.66
  6. Step 6: Final answer
    x = 11,016.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.