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Finding the Fourth Proportional to 23,075.94, 34,620.06 and 8,284.98

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Solution

The fourth proportional to 23,075.94, 34,620.06 and 8,284.98 is: 12,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.94 : 34,620.06 = 8,284.98 : x
  2. Step 2: Convert to fraction form
    23,075.94/34,620.06 = 8,284.98/x
  3. Step 3: Cross multiply
    23,075.94x = 34,620.06 × 8,284.98
  4. Step 4: Simplify right side
    23,075.94x = 286,826,639.70
  5. Step 5: Solve for x
    x = 286,826,639.70/23,075.94
  6. Step 6: Final answer
    x = 12,429.68

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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.