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Finding the Fourth Proportional to 19,864.22, 29,800 and 6,537.96

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Solution

The fourth proportional to 19,864.22, 29,800 and 6,537.96 is: 9,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.22 : 29,800 = 6,537.96 : x
  2. Step 2: Convert to fraction form
    19,864.22/29,800 = 6,537.96/x
  3. Step 3: Cross multiply
    19,864.22x = 29,800 × 6,537.96
  4. Step 4: Simplify right side
    19,864.22x = 194,831,208
  5. Step 5: Solve for x
    x = 194,831,208/19,864.22
  6. Step 6: Final answer
    x = 9,808.15

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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.