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Finding the Fourth Proportional to 13,086.46, 19,626.94 and 4,319.32

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Solution

The fourth proportional to 13,086.46, 19,626.94 and 4,319.32 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.46 : 19,626.94 = 4,319.32 : x
  2. Step 2: Convert to fraction form
    13,086.46/19,626.94 = 4,319.32/x
  3. Step 3: Cross multiply
    13,086.46x = 19,626.94 × 4,319.32
  4. Step 4: Simplify right side
    13,086.46x = 84,775,034.48
  5. Step 5: Solve for x
    x = 84,775,034.48/13,086.46
  6. Step 6: Final answer
    x = 6,478.07

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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.