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Finding the Fourth Proportional to 17,801.46, 24,563.84 and 9,842.58

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Solution

The fourth proportional to 17,801.46, 24,563.84 and 9,842.58 is: 13,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.46 : 24,563.84 = 9,842.58 : x
  2. Step 2: Convert to fraction form
    17,801.46/24,563.84 = 9,842.58/x
  3. Step 3: Cross multiply
    17,801.46x = 24,563.84 × 9,842.58
  4. Step 4: Simplify right side
    17,801.46x = 241,771,560.31
  5. Step 5: Solve for x
    x = 241,771,560.31/17,801.46
  6. Step 6: Final answer
    x = 13,581.56

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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.