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Finding the Fourth Proportional to 16,225.84, 22,391.12 and 9,152

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Solution

The fourth proportional to 16,225.84, 22,391.12 and 9,152 is: 12,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.84 : 22,391.12 = 9,152 : x
  2. Step 2: Convert to fraction form
    16,225.84/22,391.12 = 9,152/x
  3. Step 3: Cross multiply
    16,225.84x = 22,391.12 × 9,152
  4. Step 4: Simplify right side
    16,225.84x = 204,923,530.24
  5. Step 5: Solve for x
    x = 204,923,530.24/16,225.84
  6. Step 6: Final answer
    x = 12,629.46

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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.