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Finding the Fourth Proportional to 23,812.43, 35,723.64 and 9,021.02

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Solution

The fourth proportional to 23,812.43, 35,723.64 and 9,021.02 is: 13,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.43 : 35,723.64 = 9,021.02 : x
  2. Step 2: Convert to fraction form
    23,812.43/35,723.64 = 9,021.02/x
  3. Step 3: Cross multiply
    23,812.43x = 35,723.64 × 9,021.02
  4. Step 4: Simplify right side
    23,812.43x = 322,263,670.91
  5. Step 5: Solve for x
    x = 322,263,670.91/23,812.43
  6. Step 6: Final answer
    x = 13,533.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.