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Finding the Fourth Proportional to 16,075.97, 24,117.60 and 5,687.72

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Solution

The fourth proportional to 16,075.97, 24,117.60 and 5,687.72 is: 8,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.97 : 24,117.60 = 5,687.72 : x
  2. Step 2: Convert to fraction form
    16,075.97/24,117.60 = 5,687.72/x
  3. Step 3: Cross multiply
    16,075.97x = 24,117.60 × 5,687.72
  4. Step 4: Simplify right side
    16,075.97x = 137,174,115.06
  5. Step 5: Solve for x
    x = 137,174,115.06/16,075.97
  6. Step 6: Final answer
    x = 8,532.87

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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.