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Finding the Fourth Proportional to 22,411.98, 30,928.31 and 12,340.23

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Solution

The fourth proportional to 22,411.98, 30,928.31 and 12,340.23 is: 17,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,411.98 : 30,928.31 = 12,340.23 : x
  2. Step 2: Convert to fraction form
    22,411.98/30,928.31 = 12,340.23/x
  3. Step 3: Cross multiply
    22,411.98x = 30,928.31 × 12,340.23
  4. Step 4: Simplify right side
    22,411.98x = 381,662,327.50
  5. Step 5: Solve for x
    x = 381,662,327.50/22,411.98
  6. Step 6: Final answer
    x = 17,029.39

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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.