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Finding the Fourth Proportional to 20,877.30, 31,324.95 and 13,859.82

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Solution

The fourth proportional to 20,877.30, 31,324.95 and 13,859.82 is: 20,795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.30 : 31,324.95 = 13,859.82 : x
  2. Step 2: Convert to fraction form
    20,877.30/31,324.95 = 13,859.82/x
  3. Step 3: Cross multiply
    20,877.30x = 31,324.95 × 13,859.82
  4. Step 4: Simplify right side
    20,877.30x = 434,158,168.51
  5. Step 5: Solve for x
    x = 434,158,168.51/20,877.30
  6. Step 6: Final answer
    x = 20,795.70

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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.