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Finding the Fourth Proportional to 17,240.70, 23,782.14 and 10,864.80

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Solution

The fourth proportional to 17,240.70, 23,782.14 and 10,864.80 is: 14,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240.70 : 23,782.14 = 10,864.80 : x
  2. Step 2: Convert to fraction form
    17,240.70/23,782.14 = 10,864.80/x
  3. Step 3: Cross multiply
    17,240.70x = 23,782.14 × 10,864.80
  4. Step 4: Simplify right side
    17,240.70x = 258,388,194.67
  5. Step 5: Solve for x
    x = 258,388,194.67/17,240.70
  6. Step 6: Final answer
    x = 14,987.11

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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.