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Finding the Fourth Proportional to 16,075.64, 24,094.02 and 8,280.20

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Solution

The fourth proportional to 16,075.64, 24,094.02 and 8,280.20 is: 12,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.64 : 24,094.02 = 8,280.20 : x
  2. Step 2: Convert to fraction form
    16,075.64/24,094.02 = 8,280.20/x
  3. Step 3: Cross multiply
    16,075.64x = 24,094.02 × 8,280.20
  4. Step 4: Simplify right side
    16,075.64x = 199,503,304.40
  5. Step 5: Solve for x
    x = 199,503,304.40/16,075.64
  6. Step 6: Final answer
    x = 12,410.29

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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.