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Finding the Fourth Proportional to 17,804.42, 24,570.26 and 9,847.17

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Solution

The fourth proportional to 17,804.42, 24,570.26 and 9,847.17 is: 13,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.42 : 24,570.26 = 9,847.17 : x
  2. Step 2: Convert to fraction form
    17,804.42/24,570.26 = 9,847.17/x
  3. Step 3: Cross multiply
    17,804.42x = 24,570.26 × 9,847.17
  4. Step 4: Simplify right side
    17,804.42x = 241,947,477.93
  5. Step 5: Solve for x
    x = 241,947,477.93/17,804.42
  6. Step 6: Final answer
    x = 13,589.18

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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.