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Finding the Fourth Proportional to 17,784.89, 26,677.33 and 6,098.21

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Solution

The fourth proportional to 17,784.89, 26,677.33 and 6,098.21 is: 9,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.89 : 26,677.33 = 6,098.21 : x
  2. Step 2: Convert to fraction form
    17,784.89/26,677.33 = 6,098.21/x
  3. Step 3: Cross multiply
    17,784.89x = 26,677.33 × 6,098.21
  4. Step 4: Simplify right side
    17,784.89x = 162,683,827.19
  5. Step 5: Solve for x
    x = 162,683,827.19/17,784.89
  6. Step 6: Final answer
    x = 9,147.31

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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.