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Finding the Fourth Proportional to 14,083.64, 21,125.22 and 4,222.76

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Solution

The fourth proportional to 14,083.64, 21,125.22 and 4,222.76 is: 6,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.64 : 21,125.22 = 4,222.76 : x
  2. Step 2: Convert to fraction form
    14,083.64/21,125.22 = 4,222.76/x
  3. Step 3: Cross multiply
    14,083.64x = 21,125.22 × 4,222.76
  4. Step 4: Simplify right side
    14,083.64x = 89,206,734.01
  5. Step 5: Solve for x
    x = 89,206,734.01/14,083.64
  6. Step 6: Final answer
    x = 6,334.07

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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.