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Finding the Fourth Proportional to 22,252, 30,708.24 and 12,316

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Solution

The fourth proportional to 22,252, 30,708.24 and 12,316 is: 16,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 30,708.24 = 12,316 : x
  2. Step 2: Convert to fraction form
    22,252/30,708.24 = 12,316/x
  3. Step 3: Cross multiply
    22,252x = 30,708.24 × 12,316
  4. Step 4: Simplify right side
    22,252x = 378,202,683.84
  5. Step 5: Solve for x
    x = 378,202,683.84/22,252
  6. Step 6: Final answer
    x = 16,996.35

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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.