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Finding the Fourth Proportional to 16,441.46, 22,683.76 and 9,270.47

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Solution

The fourth proportional to 16,441.46, 22,683.76 and 9,270.47 is: 12,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.46 : 22,683.76 = 9,270.47 : x
  2. Step 2: Convert to fraction form
    16,441.46/22,683.76 = 9,270.47/x
  3. Step 3: Cross multiply
    16,441.46x = 22,683.76 × 9,270.47
  4. Step 4: Simplify right side
    16,441.46x = 210,289,116.57
  5. Step 5: Solve for x
    x = 210,289,116.57/16,441.46
  6. Step 6: Final answer
    x = 12,790.17

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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.