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Finding the Fourth Proportional to 14,896.96, 22,345.40 and 3,803.82

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Solution

The fourth proportional to 14,896.96, 22,345.40 and 3,803.82 is: 5,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.96 : 22,345.40 = 3,803.82 : x
  2. Step 2: Convert to fraction form
    14,896.96/22,345.40 = 3,803.82/x
  3. Step 3: Cross multiply
    14,896.96x = 22,345.40 × 3,803.82
  4. Step 4: Simplify right side
    14,896.96x = 84,997,879.43
  5. Step 5: Solve for x
    x = 84,997,879.43/14,896.96
  6. Step 6: Final answer
    x = 5,705.72

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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.