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Finding the Fourth Proportional to 22,283.84, 30,751.28 and 12,212

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Solution

The fourth proportional to 22,283.84, 30,751.28 and 12,212 is: 16,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.84 : 30,751.28 = 12,212 : x
  2. Step 2: Convert to fraction form
    22,283.84/30,751.28 = 12,212/x
  3. Step 3: Cross multiply
    22,283.84x = 30,751.28 × 12,212
  4. Step 4: Simplify right side
    22,283.84x = 375,534,631.36
  5. Step 5: Solve for x
    x = 375,534,631.36/22,283.84
  6. Step 6: Final answer
    x = 16,852.33

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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.