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Finding the Fourth Proportional to 15,794.98, 23,706.80 and 8,405.66

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Solution

The fourth proportional to 15,794.98, 23,706.80 and 8,405.66 is: 12,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.98 : 23,706.80 = 8,405.66 : x
  2. Step 2: Convert to fraction form
    15,794.98/23,706.80 = 8,405.66/x
  3. Step 3: Cross multiply
    15,794.98x = 23,706.80 × 8,405.66
  4. Step 4: Simplify right side
    15,794.98x = 199,271,300.49
  5. Step 5: Solve for x
    x = 199,271,300.49/15,794.98
  6. Step 6: Final answer
    x = 12,616.12

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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.