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Finding the Fourth Proportional to 19,814.92, 29,722.13 and 4,822.12

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Solution

The fourth proportional to 19,814.92, 29,722.13 and 4,822.12 is: 7,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.92 : 29,722.13 = 4,822.12 : x
  2. Step 2: Convert to fraction form
    19,814.92/29,722.13 = 4,822.12/x
  3. Step 3: Cross multiply
    19,814.92x = 29,722.13 × 4,822.12
  4. Step 4: Simplify right side
    19,814.92x = 143,323,579.10
  5. Step 5: Solve for x
    x = 143,323,579.10/19,814.92
  6. Step 6: Final answer
    x = 7,233.12

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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.