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Finding the Fourth Proportional to 28,583.84, 39,438.92 and 16,640

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Solution

The fourth proportional to 28,583.84, 39,438.92 and 16,640 is: 22,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,583.84 : 39,438.92 = 16,640 : x
  2. Step 2: Convert to fraction form
    28,583.84/39,438.92 = 16,640/x
  3. Step 3: Cross multiply
    28,583.84x = 39,438.92 × 16,640
  4. Step 4: Simplify right side
    28,583.84x = 656,263,628.80
  5. Step 5: Solve for x
    x = 656,263,628.80/28,583.84
  6. Step 6: Final answer
    x = 22,959.25

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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.