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Finding the Fourth Proportional to 22,313, 30,792.66 and 12,377

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Solution

The fourth proportional to 22,313, 30,792.66 and 12,377 is: 17,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313 : 30,792.66 = 12,377 : x
  2. Step 2: Convert to fraction form
    22,313/30,792.66 = 12,377/x
  3. Step 3: Cross multiply
    22,313x = 30,792.66 × 12,377
  4. Step 4: Simplify right side
    22,313x = 381,120,752.82
  5. Step 5: Solve for x
    x = 381,120,752.82/22,313
  6. Step 6: Final answer
    x = 17,080.66

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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.