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Finding the Fourth Proportional to 22,446, 30,975.24 and 12,374.84

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Solution

The fourth proportional to 22,446, 30,975.24 and 12,374.84 is: 17,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446 : 30,975.24 = 12,374.84 : x
  2. Step 2: Convert to fraction form
    22,446/30,975.24 = 12,374.84/x
  3. Step 3: Cross multiply
    22,446x = 30,975.24 × 12,374.84
  4. Step 4: Simplify right side
    22,446x = 383,313,638.96
  5. Step 5: Solve for x
    x = 383,313,638.96/22,446
  6. Step 6: Final answer
    x = 17,077.15

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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.