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Finding the Fourth Proportional to 16,762.36, 23,136.24 and 9,692.86

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Solution

The fourth proportional to 16,762.36, 23,136.24 and 9,692.86 is: 13,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.36 : 23,136.24 = 9,692.86 : x
  2. Step 2: Convert to fraction form
    16,762.36/23,136.24 = 9,692.86/x
  3. Step 3: Cross multiply
    16,762.36x = 23,136.24 × 9,692.86
  4. Step 4: Simplify right side
    16,762.36x = 224,256,335.25
  5. Step 5: Solve for x
    x = 224,256,335.25/16,762.36
  6. Step 6: Final answer
    x = 13,378.57

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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.