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Finding the Fourth Proportional to 22,302.64, 30,778.02 and 12,232

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Solution

The fourth proportional to 22,302.64, 30,778.02 and 12,232 is: 16,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.64 : 30,778.02 = 12,232 : x
  2. Step 2: Convert to fraction form
    22,302.64/30,778.02 = 12,232/x
  3. Step 3: Cross multiply
    22,302.64x = 30,778.02 × 12,232
  4. Step 4: Simplify right side
    22,302.64x = 376,476,740.64
  5. Step 5: Solve for x
    x = 376,476,740.64/22,302.64
  6. Step 6: Final answer
    x = 16,880.37

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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.