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Finding the Fourth Proportional to 14,003.46, 19,311.78 and 10,220.63

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Solution

The fourth proportional to 14,003.46, 19,311.78 and 10,220.63 is: 14,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.46 : 19,311.78 = 10,220.63 : x
  2. Step 2: Convert to fraction form
    14,003.46/19,311.78 = 10,220.63/x
  3. Step 3: Cross multiply
    14,003.46x = 19,311.78 × 10,220.63
  4. Step 4: Simplify right side
    14,003.46x = 197,378,606.30
  5. Step 5: Solve for x
    x = 197,378,606.30/14,003.46
  6. Step 6: Final answer
    x = 14,094.99

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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.