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Finding the Fourth Proportional to 14,887.82, 22,311 and 9,896.06

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Solution

The fourth proportional to 14,887.82, 22,311 and 9,896.06 is: 14,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887.82 : 22,311 = 9,896.06 : x
  2. Step 2: Convert to fraction form
    14,887.82/22,311 = 9,896.06/x
  3. Step 3: Cross multiply
    14,887.82x = 22,311 × 9,896.06
  4. Step 4: Simplify right side
    14,887.82x = 220,790,994.66
  5. Step 5: Solve for x
    x = 220,790,994.66/14,887.82
  6. Step 6: Final answer
    x = 14,830.31

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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.