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Finding the Fourth Proportional to 12,107.20, 16,706.64 and 7,389.76

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Solution

The fourth proportional to 12,107.20, 16,706.64 and 7,389.76 is: 10,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.20 : 16,706.64 = 7,389.76 : x
  2. Step 2: Convert to fraction form
    12,107.20/16,706.64 = 7,389.76/x
  3. Step 3: Cross multiply
    12,107.20x = 16,706.64 × 7,389.76
  4. Step 4: Simplify right side
    12,107.20x = 123,458,060.01
  5. Step 5: Solve for x
    x = 123,458,060.01/12,107.20
  6. Step 6: Final answer
    x = 10,197.08

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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.