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Finding the Fourth Proportional to 20,715.93, 31,074.21 and 5,133.57

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Solution

The fourth proportional to 20,715.93, 31,074.21 and 5,133.57 is: 7,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.93 : 31,074.21 = 5,133.57 : x
  2. Step 2: Convert to fraction form
    20,715.93/31,074.21 = 5,133.57/x
  3. Step 3: Cross multiply
    20,715.93x = 31,074.21 × 5,133.57
  4. Step 4: Simplify right side
    20,715.93x = 159,521,632.23
  5. Step 5: Solve for x
    x = 159,521,632.23/20,715.93
  6. Step 6: Final answer
    x = 7,700.43

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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.