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Finding the Fourth Proportional to 15,235.76, 22,844.42 and 9,964.41

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Solution

The fourth proportional to 15,235.76, 22,844.42 and 9,964.41 is: 14,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.76 : 22,844.42 = 9,964.41 : x
  2. Step 2: Convert to fraction form
    15,235.76/22,844.42 = 9,964.41/x
  3. Step 3: Cross multiply
    15,235.76x = 22,844.42 × 9,964.41
  4. Step 4: Simplify right side
    15,235.76x = 227,631,167.09
  5. Step 5: Solve for x
    x = 227,631,167.09/15,235.76
  6. Step 6: Final answer
    x = 14,940.58

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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.