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Finding the Fourth Proportional to 12,102.30, 16,696.50 and 8,923.16

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Solution

The fourth proportional to 12,102.30, 16,696.50 and 8,923.16 is: 12,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.30 : 16,696.50 = 8,923.16 : x
  2. Step 2: Convert to fraction form
    12,102.30/16,696.50 = 8,923.16/x
  3. Step 3: Cross multiply
    12,102.30x = 16,696.50 × 8,923.16
  4. Step 4: Simplify right side
    12,102.30x = 148,985,457.46
  5. Step 5: Solve for x
    x = 148,985,457.46/12,102.30
  6. Step 6: Final answer
    x = 12,310.51

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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.