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Finding the Fourth Proportional to 22,963.50, 31,692.06 and 14,580

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Solution

The fourth proportional to 22,963.50, 31,692.06 and 14,580 is: 20,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 31,692.06 = 14,580 : x
  2. Step 2: Convert to fraction form
    22,963.50/31,692.06 = 14,580/x
  3. Step 3: Cross multiply
    22,963.50x = 31,692.06 × 14,580
  4. Step 4: Simplify right side
    22,963.50x = 462,070,234.80
  5. Step 5: Solve for x
    x = 462,070,234.80/22,963.50
  6. Step 6: Final answer
    x = 20,121.94

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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.