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Finding the Fourth Proportional to 22,284, 30,753.36 and 12,348

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Solution

The fourth proportional to 22,284, 30,753.36 and 12,348 is: 17,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 30,753.36 = 12,348 : x
  2. Step 2: Convert to fraction form
    22,284/30,753.36 = 12,348/x
  3. Step 3: Cross multiply
    22,284x = 30,753.36 × 12,348
  4. Step 4: Simplify right side
    22,284x = 379,742,489.28
  5. Step 5: Solve for x
    x = 379,742,489.28/22,284
  6. Step 6: Final answer
    x = 17,041.04

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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.