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Finding the Fourth Proportional to 21,951, 30,292.38 and 12,015

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Solution

The fourth proportional to 21,951, 30,292.38 and 12,015 is: 16,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,951 : 30,292.38 = 12,015 : x
  2. Step 2: Convert to fraction form
    21,951/30,292.38 = 12,015/x
  3. Step 3: Cross multiply
    21,951x = 30,292.38 × 12,015
  4. Step 4: Simplify right side
    21,951x = 363,962,945.70
  5. Step 5: Solve for x
    x = 363,962,945.70/21,951
  6. Step 6: Final answer
    x = 16,580.70

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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.