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Finding the Fourth Proportional to 26,478.88, 36,541.46 and 14,543

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Solution

The fourth proportional to 26,478.88, 36,541.46 and 14,543 is: 20,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.88 : 36,541.46 = 14,543 : x
  2. Step 2: Convert to fraction form
    26,478.88/36,541.46 = 14,543/x
  3. Step 3: Cross multiply
    26,478.88x = 36,541.46 × 14,543
  4. Step 4: Simplify right side
    26,478.88x = 531,422,452.78
  5. Step 5: Solve for x
    x = 531,422,452.78/26,478.88
  6. Step 6: Final answer
    x = 20,069.67

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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.