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Finding the Fourth Proportional to 19,924.92, 29,887.40 and 8,225.28

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Solution

The fourth proportional to 19,924.92, 29,887.40 and 8,225.28 is: 12,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.92 : 29,887.40 = 8,225.28 : x
  2. Step 2: Convert to fraction form
    19,924.92/29,887.40 = 8,225.28/x
  3. Step 3: Cross multiply
    19,924.92x = 29,887.40 × 8,225.28
  4. Step 4: Simplify right side
    19,924.92x = 245,832,233.47
  5. Step 5: Solve for x
    x = 245,832,233.47/19,924.92
  6. Step 6: Final answer
    x = 12,337.93

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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.