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Finding the Fourth Proportional to 15,596.71, 23,404.56 and 8,206.45

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Solution

The fourth proportional to 15,596.71, 23,404.56 and 8,206.45 is: 12,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.71 : 23,404.56 = 8,206.45 : x
  2. Step 2: Convert to fraction form
    15,596.71/23,404.56 = 8,206.45/x
  3. Step 3: Cross multiply
    15,596.71x = 23,404.56 × 8,206.45
  4. Step 4: Simplify right side
    15,596.71x = 192,068,351.41
  5. Step 5: Solve for x
    x = 192,068,351.41/15,596.71
  6. Step 6: Final answer
    x = 12,314.67

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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.