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Finding the Fourth Proportional to 17,257.32, 23,813.76 and 9,702.24

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Solution

The fourth proportional to 17,257.32, 23,813.76 and 9,702.24 is: 13,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.32 : 23,813.76 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    17,257.32/23,813.76 = 9,702.24/x
  3. Step 3: Cross multiply
    17,257.32x = 23,813.76 × 9,702.24
  4. Step 4: Simplify right side
    17,257.32x = 231,046,814.82
  5. Step 5: Solve for x
    x = 231,046,814.82/17,257.32
  6. Step 6: Final answer
    x = 13,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.