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Finding the Fourth Proportional to 26,657.16, 39,986.74 and 6,935.20

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Solution

The fourth proportional to 26,657.16, 39,986.74 and 6,935.20 is: 10,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,657.16 : 39,986.74 = 6,935.20 : x
  2. Step 2: Convert to fraction form
    26,657.16/39,986.74 = 6,935.20/x
  3. Step 3: Cross multiply
    26,657.16x = 39,986.74 × 6,935.20
  4. Step 4: Simplify right side
    26,657.16x = 277,316,039.25
  5. Step 5: Solve for x
    x = 277,316,039.25/26,657.16
  6. Step 6: Final answer
    x = 10,403.06

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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.