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Finding the Fourth Proportional to 21,137.84, 31,695.36 and 20,229

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Solution

The fourth proportional to 21,137.84, 31,695.36 and 20,229 is: 30,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.84 : 31,695.36 = 20,229 : x
  2. Step 2: Convert to fraction form
    21,137.84/31,695.36 = 20,229/x
  3. Step 3: Cross multiply
    21,137.84x = 31,695.36 × 20,229
  4. Step 4: Simplify right side
    21,137.84x = 641,165,437.44
  5. Step 5: Solve for x
    x = 641,165,437.44/21,137.84
  6. Step 6: Final answer
    x = 30,332.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.