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Finding the Fourth Proportional to 13,883.50, 19,158.75 and 7,917.09

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Solution

The fourth proportional to 13,883.50, 19,158.75 and 7,917.09 is: 10,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.50 : 19,158.75 = 7,917.09 : x
  2. Step 2: Convert to fraction form
    13,883.50/19,158.75 = 7,917.09/x
  3. Step 3: Cross multiply
    13,883.50x = 19,158.75 × 7,917.09
  4. Step 4: Simplify right side
    13,883.50x = 151,681,476.19
  5. Step 5: Solve for x
    x = 151,681,476.19/13,883.50
  6. Step 6: Final answer
    x = 10,925.31

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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.