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Finding the Fourth Proportional to 20,440.41, 30,617.52 and 9,356.41

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Solution

The fourth proportional to 20,440.41, 30,617.52 and 9,356.41 is: 14,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440.41 : 30,617.52 = 9,356.41 : x
  2. Step 2: Convert to fraction form
    20,440.41/30,617.52 = 9,356.41/x
  3. Step 3: Cross multiply
    20,440.41x = 30,617.52 × 9,356.41
  4. Step 4: Simplify right side
    20,440.41x = 286,470,070.30
  5. Step 5: Solve for x
    x = 286,470,070.30/20,440.41
  6. Step 6: Final answer
    x = 14,014.89

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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.