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Finding the Fourth Proportional to 15,938.64, 21,994.02 and 9,224.73

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Solution

The fourth proportional to 15,938.64, 21,994.02 and 9,224.73 is: 12,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.64 : 21,994.02 = 9,224.73 : x
  2. Step 2: Convert to fraction form
    15,938.64/21,994.02 = 9,224.73/x
  3. Step 3: Cross multiply
    15,938.64x = 21,994.02 × 9,224.73
  4. Step 4: Simplify right side
    15,938.64x = 202,888,896.11
  5. Step 5: Solve for x
    x = 202,888,896.11/15,938.64
  6. Step 6: Final answer
    x = 12,729.37

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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.