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Finding the Fourth Proportional to 20,916, 31,384.80 and 13,900.86

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Solution

The fourth proportional to 20,916, 31,384.80 and 13,900.86 is: 20,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 31,384.80 = 13,900.86 : x
  2. Step 2: Convert to fraction form
    20,916/31,384.80 = 13,900.86/x
  3. Step 3: Cross multiply
    20,916x = 31,384.80 × 13,900.86
  4. Step 4: Simplify right side
    20,916x = 436,275,710.93
  5. Step 5: Solve for x
    x = 436,275,710.93/20,916
  6. Step 6: Final answer
    x = 20,858.47

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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.