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Finding the Fourth Proportional to 26,078.40, 39,122.40 and 8,549.16

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Solution

The fourth proportional to 26,078.40, 39,122.40 and 8,549.16 is: 12,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.40 : 39,122.40 = 8,549.16 : x
  2. Step 2: Convert to fraction form
    26,078.40/39,122.40 = 8,549.16/x
  3. Step 3: Cross multiply
    26,078.40x = 39,122.40 × 8,549.16
  4. Step 4: Simplify right side
    26,078.40x = 334,463,657.18
  5. Step 5: Solve for x
    x = 334,463,657.18/26,078.40
  6. Step 6: Final answer
    x = 12,825.31

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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.