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Finding the Fourth Proportional to 26,064.48, 39,104 and 8,546.64

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Solution

The fourth proportional to 26,064.48, 39,104 and 8,546.64 is: 12,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064.48 : 39,104 = 8,546.64 : x
  2. Step 2: Convert to fraction form
    26,064.48/39,104 = 8,546.64/x
  3. Step 3: Cross multiply
    26,064.48x = 39,104 × 8,546.64
  4. Step 4: Simplify right side
    26,064.48x = 334,207,810.56
  5. Step 5: Solve for x
    x = 334,207,810.56/26,064.48
  6. Step 6: Final answer
    x = 12,822.35

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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.