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Finding the Fourth Proportional to 17,586.37, 26,378.79 and 5,106.16

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Solution

The fourth proportional to 17,586.37, 26,378.79 and 5,106.16 is: 7,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.37 : 26,378.79 = 5,106.16 : x
  2. Step 2: Convert to fraction form
    17,586.37/26,378.79 = 5,106.16/x
  3. Step 3: Cross multiply
    17,586.37x = 26,378.79 × 5,106.16
  4. Step 4: Simplify right side
    17,586.37x = 134,694,322.35
  5. Step 5: Solve for x
    x = 134,694,322.35/17,586.37
  6. Step 6: Final answer
    x = 7,659.02

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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.