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Finding the Fourth Proportional to 17,767.37, 24,519.15 and 9,809.58

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Solution

The fourth proportional to 17,767.37, 24,519.15 and 9,809.58 is: 13,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.37 : 24,519.15 = 9,809.58 : x
  2. Step 2: Convert to fraction form
    17,767.37/24,519.15 = 9,809.58/x
  3. Step 3: Cross multiply
    17,767.37x = 24,519.15 × 9,809.58
  4. Step 4: Simplify right side
    17,767.37x = 240,522,563.46
  5. Step 5: Solve for x
    x = 240,522,563.46/17,767.37
  6. Step 6: Final answer
    x = 13,537.32

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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.