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Finding the Fourth Proportional to 17,024.80, 23,494.16 and 9,949.80

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Solution

The fourth proportional to 17,024.80, 23,494.16 and 9,949.80 is: 13,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.80 : 23,494.16 = 9,949.80 : x
  2. Step 2: Convert to fraction form
    17,024.80/23,494.16 = 9,949.80/x
  3. Step 3: Cross multiply
    17,024.80x = 23,494.16 × 9,949.80
  4. Step 4: Simplify right side
    17,024.80x = 233,762,193.17
  5. Step 5: Solve for x
    x = 233,762,193.17/17,024.80
  6. Step 6: Final answer
    x = 13,730.69

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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.