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Finding the Fourth Proportional to 17,767.44, 24,518.52 and 9,809.64

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Solution

The fourth proportional to 17,767.44, 24,518.52 and 9,809.64 is: 13,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.44 : 24,518.52 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    17,767.44/24,518.52 = 9,809.64/x
  3. Step 3: Cross multiply
    17,767.44x = 24,518.52 × 9,809.64
  4. Step 4: Simplify right side
    17,767.44x = 240,517,854.53
  5. Step 5: Solve for x
    x = 240,517,854.53/17,767.44
  6. Step 6: Final answer
    x = 13,537.00

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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.