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Finding the Fourth Proportional to 17,339.87, 23,929.10 and 9,786.51

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Solution

The fourth proportional to 17,339.87, 23,929.10 and 9,786.51 is: 13,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.87 : 23,929.10 = 9,786.51 : x
  2. Step 2: Convert to fraction form
    17,339.87/23,929.10 = 9,786.51/x
  3. Step 3: Cross multiply
    17,339.87x = 23,929.10 × 9,786.51
  4. Step 4: Simplify right side
    17,339.87x = 234,182,327.51
  5. Step 5: Solve for x
    x = 234,182,327.51/17,339.87
  6. Step 6: Final answer
    x = 13,505.43

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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.