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Finding the Fourth Proportional to 13,928.96, 19,222.48 and 8,266.64

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Solution

The fourth proportional to 13,928.96, 19,222.48 and 8,266.64 is: 11,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.96 : 19,222.48 = 8,266.64 : x
  2. Step 2: Convert to fraction form
    13,928.96/19,222.48 = 8,266.64/x
  3. Step 3: Cross multiply
    13,928.96x = 19,222.48 × 8,266.64
  4. Step 4: Simplify right side
    13,928.96x = 158,905,322.07
  5. Step 5: Solve for x
    x = 158,905,322.07/13,928.96
  6. Step 6: Final answer
    x = 11,408.27

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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.