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Finding the Fourth Proportional to 17,785.04, 24,541.90 and 9,827.27

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Solution

The fourth proportional to 17,785.04, 24,541.90 and 9,827.27 is: 13,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.04 : 24,541.90 = 9,827.27 : x
  2. Step 2: Convert to fraction form
    17,785.04/24,541.90 = 9,827.27/x
  3. Step 3: Cross multiply
    17,785.04x = 24,541.90 × 9,827.27
  4. Step 4: Simplify right side
    17,785.04x = 241,180,015.69
  5. Step 5: Solve for x
    x = 241,180,015.69/17,785.04
  6. Step 6: Final answer
    x = 13,560.84

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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.