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Finding the Fourth Proportional to 16,823.70, 25,235.55 and 8,075.70

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Solution

The fourth proportional to 16,823.70, 25,235.55 and 8,075.70 is: 12,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.70 : 25,235.55 = 8,075.70 : x
  2. Step 2: Convert to fraction form
    16,823.70/25,235.55 = 8,075.70/x
  3. Step 3: Cross multiply
    16,823.70x = 25,235.55 × 8,075.70
  4. Step 4: Simplify right side
    16,823.70x = 203,794,731.14
  5. Step 5: Solve for x
    x = 203,794,731.14/16,823.70
  6. Step 6: Final answer
    x = 12,113.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.