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Finding the Fourth Proportional to 22,796.48, 34,196.16 and 9,647.12

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Solution

The fourth proportional to 22,796.48, 34,196.16 and 9,647.12 is: 14,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.48 : 34,196.16 = 9,647.12 : x
  2. Step 2: Convert to fraction form
    22,796.48/34,196.16 = 9,647.12/x
  3. Step 3: Cross multiply
    22,796.48x = 34,196.16 × 9,647.12
  4. Step 4: Simplify right side
    22,796.48x = 329,894,459.06
  5. Step 5: Solve for x
    x = 329,894,459.06/22,796.48
  6. Step 6: Final answer
    x = 14,471.29

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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.