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Finding the Fourth Proportional to 17,491.68, 26,232 and 6,957.12

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Solution

The fourth proportional to 17,491.68, 26,232 and 6,957.12 is: 10,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.68 : 26,232 = 6,957.12 : x
  2. Step 2: Convert to fraction form
    17,491.68/26,232 = 6,957.12/x
  3. Step 3: Cross multiply
    17,491.68x = 26,232 × 6,957.12
  4. Step 4: Simplify right side
    17,491.68x = 182,499,171.84
  5. Step 5: Solve for x
    x = 182,499,171.84/17,491.68
  6. Step 6: Final answer
    x = 10,433.48

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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.