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Finding the Fourth Proportional to 16,563.40, 22,865.95 and 12,778.07

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Solution

The fourth proportional to 16,563.40, 22,865.95 and 12,778.07 is: 17,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.40 : 22,865.95 = 12,778.07 : x
  2. Step 2: Convert to fraction form
    16,563.40/22,865.95 = 12,778.07/x
  3. Step 3: Cross multiply
    16,563.40x = 22,865.95 × 12,778.07
  4. Step 4: Simplify right side
    16,563.40x = 292,182,611.36
  5. Step 5: Solve for x
    x = 292,182,611.36/16,563.40
  6. Step 6: Final answer
    x = 17,640.26

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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.