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Finding the Fourth Proportional to 22,232.15, 30,679.71 and 12,160.38

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Solution

The fourth proportional to 22,232.15, 30,679.71 and 12,160.38 is: 16,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.15 : 30,679.71 = 12,160.38 : x
  2. Step 2: Convert to fraction form
    22,232.15/30,679.71 = 12,160.38/x
  3. Step 3: Cross multiply
    22,232.15x = 30,679.71 × 12,160.38
  4. Step 4: Simplify right side
    22,232.15x = 373,076,897.17
  5. Step 5: Solve for x
    x = 373,076,897.17/22,232.15
  6. Step 6: Final answer
    x = 16,780.96

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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.