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Finding the Fourth Proportional to 14,674.43, 22,013.94 and 5,313.47

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Solution

The fourth proportional to 14,674.43, 22,013.94 and 5,313.47 is: 7,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.43 : 22,013.94 = 5,313.47 : x
  2. Step 2: Convert to fraction form
    14,674.43/22,013.94 = 5,313.47/x
  3. Step 3: Cross multiply
    14,674.43x = 22,013.94 × 5,313.47
  4. Step 4: Simplify right side
    14,674.43x = 116,970,319.63
  5. Step 5: Solve for x
    x = 116,970,319.63/14,674.43
  6. Step 6: Final answer
    x = 7,971.03

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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.