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Finding the Fourth Proportional to 14,665.30, 20,222.06 and 10,895.46

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Solution

The fourth proportional to 14,665.30, 20,222.06 and 10,895.46 is: 15,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.30 : 20,222.06 = 10,895.46 : x
  2. Step 2: Convert to fraction form
    14,665.30/20,222.06 = 10,895.46/x
  3. Step 3: Cross multiply
    14,665.30x = 20,222.06 × 10,895.46
  4. Step 4: Simplify right side
    14,665.30x = 220,328,645.85
  5. Step 5: Solve for x
    x = 220,328,645.85/14,665.30
  6. Step 6: Final answer
    x = 15,023.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.