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Finding the Fourth Proportional to 25,062.96, 37,597.68 and 8,415.84

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Solution

The fourth proportional to 25,062.96, 37,597.68 and 8,415.84 is: 12,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,062.96 : 37,597.68 = 8,415.84 : x
  2. Step 2: Convert to fraction form
    25,062.96/37,597.68 = 8,415.84/x
  3. Step 3: Cross multiply
    25,062.96x = 37,597.68 × 8,415.84
  4. Step 4: Simplify right side
    25,062.96x = 316,416,059.25
  5. Step 5: Solve for x
    x = 316,416,059.25/25,062.96
  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.