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Finding the Fourth Proportional to 22,441.92, 30,968.16 and 12,504

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Solution

The fourth proportional to 22,441.92, 30,968.16 and 12,504 is: 17,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.92 : 30,968.16 = 12,504 : x
  2. Step 2: Convert to fraction form
    22,441.92/30,968.16 = 12,504/x
  3. Step 3: Cross multiply
    22,441.92x = 30,968.16 × 12,504
  4. Step 4: Simplify right side
    22,441.92x = 387,225,872.64
  5. Step 5: Solve for x
    x = 387,225,872.64/22,441.92
  6. Step 6: Final answer
    x = 17,254.58

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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.