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Finding the Fourth Proportional to 13,471.77, 20,207.73 and 4,700.53

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Solution

The fourth proportional to 13,471.77, 20,207.73 and 4,700.53 is: 7,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.77 : 20,207.73 = 4,700.53 : x
  2. Step 2: Convert to fraction form
    13,471.77/20,207.73 = 4,700.53/x
  3. Step 3: Cross multiply
    13,471.77x = 20,207.73 × 4,700.53
  4. Step 4: Simplify right side
    13,471.77x = 94,987,057.54
  5. Step 5: Solve for x
    x = 94,987,057.54/13,471.77
  6. Step 6: Final answer
    x = 7,050.82

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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.