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Finding the Fourth Proportional to 17,154.24, 23,672.64 and 9,702.24

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Solution

The fourth proportional to 17,154.24, 23,672.64 and 9,702.24 is: 13,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.24 : 23,672.64 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    17,154.24/23,672.64 = 9,702.24/x
  3. Step 3: Cross multiply
    17,154.24x = 23,672.64 × 9,702.24
  4. Step 4: Simplify right side
    17,154.24x = 229,677,634.71
  5. Step 5: Solve for x
    x = 229,677,634.71/17,154.24
  6. Step 6: Final answer
    x = 13,388.97

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