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Finding the Fourth Proportional to 17,784.96, 24,541.95 and 9,827.31

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Solution

The fourth proportional to 17,784.96, 24,541.95 and 9,827.31 is: 13,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.96 : 24,541.95 = 9,827.31 : x
  2. Step 2: Convert to fraction form
    17,784.96/24,541.95 = 9,827.31/x
  3. Step 3: Cross multiply
    17,784.96x = 24,541.95 × 9,827.31
  4. Step 4: Simplify right side
    17,784.96x = 241,181,350.65
  5. Step 5: Solve for x
    x = 241,181,350.65/17,784.96
  6. Step 6: Final answer
    x = 13,560.97

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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.