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Finding the Fourth Proportional to 20,428.34, 30,642.57 and 5,636.93

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Solution

The fourth proportional to 20,428.34, 30,642.57 and 5,636.93 is: 8,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.34 : 30,642.57 = 5,636.93 : x
  2. Step 2: Convert to fraction form
    20,428.34/30,642.57 = 5,636.93/x
  3. Step 3: Cross multiply
    20,428.34x = 30,642.57 × 5,636.93
  4. Step 4: Simplify right side
    20,428.34x = 172,729,868.90
  5. Step 5: Solve for x
    x = 172,729,868.90/20,428.34
  6. Step 6: Final answer
    x = 8,455.41

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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.