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Finding the Fourth Proportional to 22,207.49, 30,646.73 and 12,136.35

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Solution

The fourth proportional to 22,207.49, 30,646.73 and 12,136.35 is: 16,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.49 : 30,646.73 = 12,136.35 : x
  2. Step 2: Convert to fraction form
    22,207.49/30,646.73 = 12,136.35/x
  3. Step 3: Cross multiply
    22,207.49x = 30,646.73 × 12,136.35
  4. Step 4: Simplify right side
    22,207.49x = 371,939,441.64
  5. Step 5: Solve for x
    x = 371,939,441.64/22,207.49
  6. Step 6: Final answer
    x = 16,748.38

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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.