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Finding the Fourth Proportional to 26,147.56, 36,084.56 and 14,211.80

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Solution

The fourth proportional to 26,147.56, 36,084.56 and 14,211.80 is: 19,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,147.56 : 36,084.56 = 14,211.80 : x
  2. Step 2: Convert to fraction form
    26,147.56/36,084.56 = 14,211.80/x
  3. Step 3: Cross multiply
    26,147.56x = 36,084.56 × 14,211.80
  4. Step 4: Simplify right side
    26,147.56x = 512,826,549.81
  5. Step 5: Solve for x
    x = 512,826,549.81/26,147.56
  6. Step 6: Final answer
    x = 19,612.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.