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Finding the Fourth Proportional to 16,225.70, 22,391.46 and 9,152.12

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Solution

The fourth proportional to 16,225.70, 22,391.46 and 9,152.12 is: 12,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.70 : 22,391.46 = 9,152.12 : x
  2. Step 2: Convert to fraction form
    16,225.70/22,391.46 = 9,152.12/x
  3. Step 3: Cross multiply
    16,225.70x = 22,391.46 × 9,152.12
  4. Step 4: Simplify right side
    16,225.70x = 204,929,384.87
  5. Step 5: Solve for x
    x = 204,929,384.87/16,225.70
  6. Step 6: Final answer
    x = 12,629.93

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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.