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Finding the Fourth Proportional to 21,257.13, 31,885.74 and 5,674.71

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Solution

The fourth proportional to 21,257.13, 31,885.74 and 5,674.71 is: 8,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.13 : 31,885.74 = 5,674.71 : x
  2. Step 2: Convert to fraction form
    21,257.13/31,885.74 = 5,674.71/x
  3. Step 3: Cross multiply
    21,257.13x = 31,885.74 × 5,674.71
  4. Step 4: Simplify right side
    21,257.13x = 180,942,327.64
  5. Step 5: Solve for x
    x = 180,942,327.64/21,257.13
  6. Step 6: Final answer
    x = 8,512.08

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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.