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Finding the Fourth Proportional to 21,938, 30,275.16 and 12,002

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Solution

The fourth proportional to 21,938, 30,275.16 and 12,002 is: 16,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938 : 30,275.16 = 12,002 : x
  2. Step 2: Convert to fraction form
    21,938/30,275.16 = 12,002/x
  3. Step 3: Cross multiply
    21,938x = 30,275.16 × 12,002
  4. Step 4: Simplify right side
    21,938x = 363,362,470.32
  5. Step 5: Solve for x
    x = 363,362,470.32/21,938
  6. Step 6: Final answer
    x = 16,563.15

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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.