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Finding the Fourth Proportional to 13,917.17, 19,205.71 and 7,543.82

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Solution

The fourth proportional to 13,917.17, 19,205.71 and 7,543.82 is: 10,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.17 : 19,205.71 = 7,543.82 : x
  2. Step 2: Convert to fraction form
    13,917.17/19,205.71 = 7,543.82/x
  3. Step 3: Cross multiply
    13,917.17x = 19,205.71 × 7,543.82
  4. Step 4: Simplify right side
    13,917.17x = 144,884,448.37
  5. Step 5: Solve for x
    x = 144,884,448.37/13,917.17
  6. Step 6: Final answer
    x = 10,410.48

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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.