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Finding the Fourth Proportional to 19,608.38, 29,416.22 and 6,461.27

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Solution

The fourth proportional to 19,608.38, 29,416.22 and 6,461.27 is: 9,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.38 : 29,416.22 = 6,461.27 : x
  2. Step 2: Convert to fraction form
    19,608.38/29,416.22 = 6,461.27/x
  3. Step 3: Cross multiply
    19,608.38x = 29,416.22 × 6,461.27
  4. Step 4: Simplify right side
    19,608.38x = 190,066,107.49
  5. Step 5: Solve for x
    x = 190,066,107.49/19,608.38
  6. Step 6: Final answer
    x = 9,693.11

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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.