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Finding the Fourth Proportional to 13,877.68, 19,150.72 and 7,911.27

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Solution

The fourth proportional to 13,877.68, 19,150.72 and 7,911.27 is: 10,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.68 : 19,150.72 = 7,911.27 : x
  2. Step 2: Convert to fraction form
    13,877.68/19,150.72 = 7,911.27/x
  3. Step 3: Cross multiply
    13,877.68x = 19,150.72 × 7,911.27
  4. Step 4: Simplify right side
    13,877.68x = 151,506,458.85
  5. Step 5: Solve for x
    x = 151,506,458.85/13,877.68
  6. Step 6: Final answer
    x = 10,917.28

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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.