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Finding the Fourth Proportional to 22,328.25, 30,812.99 and 12,392.25

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Solution

The fourth proportional to 22,328.25, 30,812.99 and 12,392.25 is: 17,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.25 : 30,812.99 = 12,392.25 : x
  2. Step 2: Convert to fraction form
    22,328.25/30,812.99 = 12,392.25/x
  3. Step 3: Cross multiply
    22,328.25x = 30,812.99 × 12,392.25
  4. Step 4: Simplify right side
    22,328.25x = 381,842,213.37
  5. Step 5: Solve for x
    x = 381,842,213.37/22,328.25
  6. Step 6: Final answer
    x = 17,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.