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Finding the Fourth Proportional to 23,207.71, 34,811.53 and 8,416.60

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Solution

The fourth proportional to 23,207.71, 34,811.53 and 8,416.60 is: 12,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.71 : 34,811.53 = 8,416.60 : x
  2. Step 2: Convert to fraction form
    23,207.71/34,811.53 = 8,416.60/x
  3. Step 3: Cross multiply
    23,207.71x = 34,811.53 × 8,416.60
  4. Step 4: Simplify right side
    23,207.71x = 292,994,723.40
  5. Step 5: Solve for x
    x = 292,994,723.40/23,207.71
  6. Step 6: Final answer
    x = 12,624.89

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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.