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Finding the Fourth Proportional to 16,047.72, 24,075.72 and 6,684.76

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Solution

The fourth proportional to 16,047.72, 24,075.72 and 6,684.76 is: 10,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.72 : 24,075.72 = 6,684.76 : x
  2. Step 2: Convert to fraction form
    16,047.72/24,075.72 = 6,684.76/x
  3. Step 3: Cross multiply
    16,047.72x = 24,075.72 × 6,684.76
  4. Step 4: Simplify right side
    16,047.72x = 160,940,410.03
  5. Step 5: Solve for x
    x = 160,940,410.03/16,047.72
  6. Step 6: Final answer
    x = 10,028.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.