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Finding the Fourth Proportional to 23,206.68, 34,808.40 and 8,412.84

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Solution

The fourth proportional to 23,206.68, 34,808.40 and 8,412.84 is: 12,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.68 : 34,808.40 = 8,412.84 : x
  2. Step 2: Convert to fraction form
    23,206.68/34,808.40 = 8,412.84/x
  3. Step 3: Cross multiply
    23,206.68x = 34,808.40 × 8,412.84
  4. Step 4: Simplify right side
    23,206.68x = 292,837,499.86
  5. Step 5: Solve for x
    x = 292,837,499.86/23,206.68
  6. Step 6: Final answer
    x = 12,618.67

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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.