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Finding the Fourth Proportional to 14,622.87, 21,922.02 and 5,853

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Solution

The fourth proportional to 14,622.87, 21,922.02 and 5,853 is: 8,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622.87 : 21,922.02 = 5,853 : x
  2. Step 2: Convert to fraction form
    14,622.87/21,922.02 = 5,853/x
  3. Step 3: Cross multiply
    14,622.87x = 21,922.02 × 5,853
  4. Step 4: Simplify right side
    14,622.87x = 128,309,583.06
  5. Step 5: Solve for x
    x = 128,309,583.06/14,622.87
  6. Step 6: Final answer
    x = 8,774.58

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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.