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Finding the Fourth Proportional to 13,918.74, 19,208.64 and 8,256.84

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Solution

The fourth proportional to 13,918.74, 19,208.64 and 8,256.84 is: 11,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.74 : 19,208.64 = 8,256.84 : x
  2. Step 2: Convert to fraction form
    13,918.74/19,208.64 = 8,256.84/x
  3. Step 3: Cross multiply
    13,918.74x = 19,208.64 × 8,256.84
  4. Step 4: Simplify right side
    13,918.74x = 158,602,571.05
  5. Step 5: Solve for x
    x = 158,602,571.05/13,918.74
  6. Step 6: Final answer
    x = 11,394.90

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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.