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Finding the Fourth Proportional to 14,705.82, 22,043.54 and 5,817.56

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Solution

The fourth proportional to 14,705.82, 22,043.54 and 5,817.56 is: 8,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.82 : 22,043.54 = 5,817.56 : x
  2. Step 2: Convert to fraction form
    14,705.82/22,043.54 = 5,817.56/x
  3. Step 3: Cross multiply
    14,705.82x = 22,043.54 × 5,817.56
  4. Step 4: Simplify right side
    14,705.82x = 128,239,520.89
  5. Step 5: Solve for x
    x = 128,239,520.89/14,705.82
  6. Step 6: Final answer
    x = 8,720.32

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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.