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Finding the Fourth Proportional to 13,115.79, 19,667.63 and 4,229.53

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Solution

The fourth proportional to 13,115.79, 19,667.63 and 4,229.53 is: 6,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.79 : 19,667.63 = 4,229.53 : x
  2. Step 2: Convert to fraction form
    13,115.79/19,667.63 = 4,229.53/x
  3. Step 3: Cross multiply
    13,115.79x = 19,667.63 × 4,229.53
  4. Step 4: Simplify right side
    13,115.79x = 83,184,792.52
  5. Step 5: Solve for x
    x = 83,184,792.52/13,115.79
  6. Step 6: Final answer
    x = 6,342.34

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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.