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Finding the Fourth Proportional to 14,224.68, 19,621.80 and 8,254.17

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Solution

The fourth proportional to 14,224.68, 19,621.80 and 8,254.17 is: 11,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.68 : 19,621.80 = 8,254.17 : x
  2. Step 2: Convert to fraction form
    14,224.68/19,621.80 = 8,254.17/x
  3. Step 3: Cross multiply
    14,224.68x = 19,621.80 × 8,254.17
  4. Step 4: Simplify right side
    14,224.68x = 161,961,672.91
  5. Step 5: Solve for x
    x = 161,961,672.91/14,224.68
  6. Step 6: Final answer
    x = 11,385.96

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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.