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Finding the Fourth Proportional to 13,278.64, 19,918.86 and 4,958.50

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Solution

The fourth proportional to 13,278.64, 19,918.86 and 4,958.50 is: 7,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.64 : 19,918.86 = 4,958.50 : x
  2. Step 2: Convert to fraction form
    13,278.64/19,918.86 = 4,958.50/x
  3. Step 3: Cross multiply
    13,278.64x = 19,918.86 × 4,958.50
  4. Step 4: Simplify right side
    13,278.64x = 98,767,667.31
  5. Step 5: Solve for x
    x = 98,767,667.31/13,278.64
  6. Step 6: Final answer
    x = 7,438.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.