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Finding the Fourth Proportional to 16,075.62, 24,114.96 and 6,214.68

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Solution

The fourth proportional to 16,075.62, 24,114.96 and 6,214.68 is: 9,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.62 : 24,114.96 = 6,214.68 : x
  2. Step 2: Convert to fraction form
    16,075.62/24,114.96 = 6,214.68/x
  3. Step 3: Cross multiply
    16,075.62x = 24,114.96 × 6,214.68
  4. Step 4: Simplify right side
    16,075.62x = 149,866,759.61
  5. Step 5: Solve for x
    x = 149,866,759.61/16,075.62
  6. Step 6: Final answer
    x = 9,322.61

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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.