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Finding the Fourth Proportional to 22,012, 30,375.76 and 12,580

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Solution

The fourth proportional to 22,012, 30,375.76 and 12,580 is: 17,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 30,375.76 = 12,580 : x
  2. Step 2: Convert to fraction form
    22,012/30,375.76 = 12,580/x
  3. Step 3: Cross multiply
    22,012x = 30,375.76 × 12,580
  4. Step 4: Simplify right side
    22,012x = 382,127,060.80
  5. Step 5: Solve for x
    x = 382,127,060.80/22,012
  6. Step 6: Final answer
    x = 17,359.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.