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Finding the Fourth Proportional to 17,827.30, 26,789.41 and 9,513.19

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Solution

The fourth proportional to 17,827.30, 26,789.41 and 9,513.19 is: 14,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.30 : 26,789.41 = 9,513.19 : x
  2. Step 2: Convert to fraction form
    17,827.30/26,789.41 = 9,513.19/x
  3. Step 3: Cross multiply
    17,827.30x = 26,789.41 × 9,513.19
  4. Step 4: Simplify right side
    17,827.30x = 254,852,747.32
  5. Step 5: Solve for x
    x = 254,852,747.32/17,827.30
  6. Step 6: Final answer
    x = 14,295.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.