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Finding the Fourth Proportional to 25,005.84, 37,497.80 and 11,861.96

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Solution

The fourth proportional to 25,005.84, 37,497.80 and 11,861.96 is: 17,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.84 : 37,497.80 = 11,861.96 : x
  2. Step 2: Convert to fraction form
    25,005.84/37,497.80 = 11,861.96/x
  3. Step 3: Cross multiply
    25,005.84x = 37,497.80 × 11,861.96
  4. Step 4: Simplify right side
    25,005.84x = 444,797,403.69
  5. Step 5: Solve for x
    x = 444,797,403.69/25,005.84
  6. Step 6: Final answer
    x = 17,787.74

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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.