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Finding the Fourth Proportional to 12,821, 19,232.22 and 3,587.72

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Solution

The fourth proportional to 12,821, 19,232.22 and 3,587.72 is: 5,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821 : 19,232.22 = 3,587.72 : x
  2. Step 2: Convert to fraction form
    12,821/19,232.22 = 3,587.72/x
  3. Step 3: Cross multiply
    12,821x = 19,232.22 × 3,587.72
  4. Step 4: Simplify right side
    12,821x = 68,999,820.34
  5. Step 5: Solve for x
    x = 68,999,820.34/12,821
  6. Step 6: Final answer
    x = 5,381.78

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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.