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Finding the Fourth Proportional to 16,049.94, 24,074.91 and 8,657.88

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Solution

The fourth proportional to 16,049.94, 24,074.91 and 8,657.88 is: 12,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.94 : 24,074.91 = 8,657.88 : x
  2. Step 2: Convert to fraction form
    16,049.94/24,074.91 = 8,657.88/x
  3. Step 3: Cross multiply
    16,049.94x = 24,074.91 × 8,657.88
  4. Step 4: Simplify right side
    16,049.94x = 208,437,681.79
  5. Step 5: Solve for x
    x = 208,437,681.79/16,049.94
  6. Step 6: Final answer
    x = 12,986.82

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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.