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Finding the Fourth Proportional to 13,887.68, 19,161.08 and 8,219.93

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Solution

The fourth proportional to 13,887.68, 19,161.08 and 8,219.93 is: 11,341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.68 : 19,161.08 = 8,219.93 : x
  2. Step 2: Convert to fraction form
    13,887.68/19,161.08 = 8,219.93/x
  3. Step 3: Cross multiply
    13,887.68x = 19,161.08 × 8,219.93
  4. Step 4: Simplify right side
    13,887.68x = 157,502,761.14
  5. Step 5: Solve for x
    x = 157,502,761.14/13,887.68
  6. Step 6: Final answer
    x = 11,341.19

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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.