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Finding the Fourth Proportional to 15,147, 20,858.76 and 11,784.15

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Solution

The fourth proportional to 15,147, 20,858.76 and 11,784.15 is: 16,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 20,858.76 = 11,784.15 : x
  2. Step 2: Convert to fraction form
    15,147/20,858.76 = 11,784.15/x
  3. Step 3: Cross multiply
    15,147x = 20,858.76 × 11,784.15
  4. Step 4: Simplify right side
    15,147x = 245,802,756.65
  5. Step 5: Solve for x
    x = 245,802,756.65/15,147
  6. Step 6: Final answer
    x = 16,227.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.