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Finding the Fourth Proportional to 21,051.30, 31,422.84 and 18,560.25

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Solution

The fourth proportional to 21,051.30, 31,422.84 and 18,560.25 is: 27,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.30 : 31,422.84 = 18,560.25 : x
  2. Step 2: Convert to fraction form
    21,051.30/31,422.84 = 18,560.25/x
  3. Step 3: Cross multiply
    21,051.30x = 31,422.84 × 18,560.25
  4. Step 4: Simplify right side
    21,051.30x = 583,215,766.11
  5. Step 5: Solve for x
    x = 583,215,766.11/21,051.30
  6. Step 6: Final answer
    x = 27,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.