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Finding the Fourth Proportional to 22,384.44, 30,883.14 and 12,946.32

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Solution

The fourth proportional to 22,384.44, 30,883.14 and 12,946.32 is: 17,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.44 : 30,883.14 = 12,946.32 : x
  2. Step 2: Convert to fraction form
    22,384.44/30,883.14 = 12,946.32/x
  3. Step 3: Cross multiply
    22,384.44x = 30,883.14 × 12,946.32
  4. Step 4: Simplify right side
    22,384.44x = 399,823,013.04
  5. Step 5: Solve for x
    x = 399,823,013.04/22,384.44
  6. Step 6: Final answer
    x = 17,861.65

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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.