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Finding the Fourth Proportional to 22,312, 30,792 and 12,376

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Solution

The fourth proportional to 22,312, 30,792 and 12,376 is: 17,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312 : 30,792 = 12,376 : x
  2. Step 2: Convert to fraction form
    22,312/30,792 = 12,376/x
  3. Step 3: Cross multiply
    22,312x = 30,792 × 12,376
  4. Step 4: Simplify right side
    22,312x = 381,081,792
  5. Step 5: Solve for x
    x = 381,081,792/22,312
  6. Step 6: Final answer
    x = 17,079.68

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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.