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Finding the Fourth Proportional to 26,694.75, 40,047.14 and 12,656.18

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Solution

The fourth proportional to 26,694.75, 40,047.14 and 12,656.18 is: 18,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694.75 : 40,047.14 = 12,656.18 : x
  2. Step 2: Convert to fraction form
    26,694.75/40,047.14 = 12,656.18/x
  3. Step 3: Cross multiply
    26,694.75x = 40,047.14 × 12,656.18
  4. Step 4: Simplify right side
    26,694.75x = 506,843,548.81
  5. Step 5: Solve for x
    x = 506,843,548.81/26,694.75
  6. Step 6: Final answer
    x = 18,986.64

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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.