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Finding the Fourth Proportional to 17,301.40, 25,952.10 and 11,456.64

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Solution

The fourth proportional to 17,301.40, 25,952.10 and 11,456.64 is: 17,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.40 : 25,952.10 = 11,456.64 : x
  2. Step 2: Convert to fraction form
    17,301.40/25,952.10 = 11,456.64/x
  3. Step 3: Cross multiply
    17,301.40x = 25,952.10 × 11,456.64
  4. Step 4: Simplify right side
    17,301.40x = 297,323,823.98
  5. Step 5: Solve for x
    x = 297,323,823.98/17,301.40
  6. Step 6: Final answer
    x = 17,184.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.