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Finding the Fourth Proportional to 13,898.33, 20,852.84 and 8,355.50

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Solution

The fourth proportional to 13,898.33, 20,852.84 and 8,355.50 is: 12,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.33 : 20,852.84 = 8,355.50 : x
  2. Step 2: Convert to fraction form
    13,898.33/20,852.84 = 8,355.50/x
  3. Step 3: Cross multiply
    13,898.33x = 20,852.84 × 8,355.50
  4. Step 4: Simplify right side
    13,898.33x = 174,235,904.62
  5. Step 5: Solve for x
    x = 174,235,904.62/13,898.33
  6. Step 6: Final answer
    x = 12,536.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.