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Finding the Fourth Proportional to 12,303.28, 16,969.77 and 8,213.02

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Solution

The fourth proportional to 12,303.28, 16,969.77 and 8,213.02 is: 11,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.28 : 16,969.77 = 8,213.02 : x
  2. Step 2: Convert to fraction form
    12,303.28/16,969.77 = 8,213.02/x
  3. Step 3: Cross multiply
    12,303.28x = 16,969.77 × 8,213.02
  4. Step 4: Simplify right side
    12,303.28x = 139,373,060.41
  5. Step 5: Solve for x
    x = 139,373,060.41/12,303.28
  6. Step 6: Final answer
    x = 11,328.12

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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.