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Finding the Fourth Proportional to 22,248, 30,704.16 and 12,313.92

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Solution

The fourth proportional to 22,248, 30,704.16 and 12,313.92 is: 16,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,248 : 30,704.16 = 12,313.92 : x
  2. Step 2: Convert to fraction form
    22,248/30,704.16 = 12,313.92/x
  3. Step 3: Cross multiply
    22,248x = 30,704.16 × 12,313.92
  4. Step 4: Simplify right side
    22,248x = 378,088,569.91
  5. Step 5: Solve for x
    x = 378,088,569.91/22,248
  6. Step 6: Final answer
    x = 16,994.27

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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.