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Finding the Fourth Proportional to 14,791.32, 22,186.98 and 8,631

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Solution

The fourth proportional to 14,791.32, 22,186.98 and 8,631 is: 12,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.32 : 22,186.98 = 8,631 : x
  2. Step 2: Convert to fraction form
    14,791.32/22,186.98 = 8,631/x
  3. Step 3: Cross multiply
    14,791.32x = 22,186.98 × 8,631
  4. Step 4: Simplify right side
    14,791.32x = 191,495,824.38
  5. Step 5: Solve for x
    x = 191,495,824.38/14,791.32
  6. Step 6: Final answer
    x = 12,946.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.