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Finding the Fourth Proportional to 20,878.48, 31,239.21 and 14,650.64

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Solution

The fourth proportional to 20,878.48, 31,239.21 and 14,650.64 is: 21,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.48 : 31,239.21 = 14,650.64 : x
  2. Step 2: Convert to fraction form
    20,878.48/31,239.21 = 14,650.64/x
  3. Step 3: Cross multiply
    20,878.48x = 31,239.21 × 14,650.64
  4. Step 4: Simplify right side
    20,878.48x = 457,674,419.59
  5. Step 5: Solve for x
    x = 457,674,419.59/20,878.48
  6. Step 6: Final answer
    x = 21,920.87

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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.