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Finding the Fourth Proportional to 22,208.36, 30,646.50 and 12,137.32

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Solution

The fourth proportional to 22,208.36, 30,646.50 and 12,137.32 is: 16,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.36 : 30,646.50 = 12,137.32 : x
  2. Step 2: Convert to fraction form
    22,208.36/30,646.50 = 12,137.32/x
  3. Step 3: Cross multiply
    22,208.36x = 30,646.50 × 12,137.32
  4. Step 4: Simplify right side
    22,208.36x = 371,966,377.38
  5. Step 5: Solve for x
    x = 371,966,377.38/22,208.36
  6. Step 6: Final answer
    x = 16,748.93

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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.