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Finding the Fourth Proportional to 25,056.69, 37,583.73 and 8,416.86

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Solution

The fourth proportional to 25,056.69, 37,583.73 and 8,416.86 is: 12,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,056.69 : 37,583.73 = 8,416.86 : x
  2. Step 2: Convert to fraction form
    25,056.69/37,583.73 = 8,416.86/x
  3. Step 3: Cross multiply
    25,056.69x = 37,583.73 × 8,416.86
  4. Step 4: Simplify right side
    25,056.69x = 316,336,993.69
  5. Step 5: Solve for x
    x = 316,336,993.69/25,056.69
  6. Step 6: Final answer
    x = 12,624.85

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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.