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Finding the Fourth Proportional to 14,083.57, 19,439.65 and 8,119.22

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Solution

The fourth proportional to 14,083.57, 19,439.65 and 8,119.22 is: 11,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.57 : 19,439.65 = 8,119.22 : x
  2. Step 2: Convert to fraction form
    14,083.57/19,439.65 = 8,119.22/x
  3. Step 3: Cross multiply
    14,083.57x = 19,439.65 × 8,119.22
  4. Step 4: Simplify right side
    14,083.57x = 157,834,795.07
  5. Step 5: Solve for x
    x = 157,834,795.07/14,083.57
  6. Step 6: Final answer
    x = 11,207.02

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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.