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Finding the Fourth Proportional to 17,804.39, 24,569.78 and 9,846.43

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Solution

The fourth proportional to 17,804.39, 24,569.78 and 9,846.43 is: 13,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.39 : 24,569.78 = 9,846.43 : x
  2. Step 2: Convert to fraction form
    17,804.39/24,569.78 = 9,846.43/x
  3. Step 3: Cross multiply
    17,804.39x = 24,569.78 × 9,846.43
  4. Step 4: Simplify right side
    17,804.39x = 241,924,508.23
  5. Step 5: Solve for x
    x = 241,924,508.23/17,804.39
  6. Step 6: Final answer
    x = 13,587.92

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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.