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Finding the Fourth Proportional to 24,865.52, 37,309.41 and 13,176

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Solution

The fourth proportional to 24,865.52, 37,309.41 and 13,176 is: 19,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.52 : 37,309.41 = 13,176 : x
  2. Step 2: Convert to fraction form
    24,865.52/37,309.41 = 13,176/x
  3. Step 3: Cross multiply
    24,865.52x = 37,309.41 × 13,176
  4. Step 4: Simplify right side
    24,865.52x = 491,588,786.16
  5. Step 5: Solve for x
    x = 491,588,786.16/24,865.52
  6. Step 6: Final answer
    x = 19,769.90

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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.