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Finding the Fourth Proportional to 10,814.70, 16,224.75 and 3,023.45

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Solution

The fourth proportional to 10,814.70, 16,224.75 and 3,023.45 is: 4,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.70 : 16,224.75 = 3,023.45 : x
  2. Step 2: Convert to fraction form
    10,814.70/16,224.75 = 3,023.45/x
  3. Step 3: Cross multiply
    10,814.70x = 16,224.75 × 3,023.45
  4. Step 4: Simplify right side
    10,814.70x = 49,054,639.26
  5. Step 5: Solve for x
    x = 49,054,639.26/10,814.70
  6. Step 6: Final answer
    x = 4,535.92

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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.