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Finding the Fourth Proportional to 21,229, 31,619.25 and 20,118.76

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Solution

The fourth proportional to 21,229, 31,619.25 and 20,118.76 is: 29,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229 : 31,619.25 = 20,118.76 : x
  2. Step 2: Convert to fraction form
    21,229/31,619.25 = 20,118.76/x
  3. Step 3: Cross multiply
    21,229x = 31,619.25 × 20,118.76
  4. Step 4: Simplify right side
    21,229x = 636,140,102.13
  5. Step 5: Solve for x
    x = 636,140,102.13/21,229
  6. Step 6: Final answer
    x = 29,965.62

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