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Finding the Fourth Proportional to 24,050.21, 36,075.80 and 8,255.15

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Solution

The fourth proportional to 24,050.21, 36,075.80 and 8,255.15 is: 12,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.21 : 36,075.80 = 8,255.15 : x
  2. Step 2: Convert to fraction form
    24,050.21/36,075.80 = 8,255.15/x
  3. Step 3: Cross multiply
    24,050.21x = 36,075.80 × 8,255.15
  4. Step 4: Simplify right side
    24,050.21x = 297,810,980.63
  5. Step 5: Solve for x
    x = 297,810,980.63/24,050.21
  6. Step 6: Final answer
    x = 12,382.88

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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.