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Finding the Fourth Proportional to 17,053.28, 25,586.76 and 8,287.28

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Solution

The fourth proportional to 17,053.28, 25,586.76 and 8,287.28 is: 12,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.28 : 25,586.76 = 8,287.28 : x
  2. Step 2: Convert to fraction form
    17,053.28/25,586.76 = 8,287.28/x
  3. Step 3: Cross multiply
    17,053.28x = 25,586.76 × 8,287.28
  4. Step 4: Simplify right side
    17,053.28x = 212,044,644.41
  5. Step 5: Solve for x
    x = 212,044,644.41/17,053.28
  6. Step 6: Final answer
    x = 12,434.24

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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.