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Finding the Fourth Proportional to 13,858.28, 20,780.11 and 9,476.99

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Solution

The fourth proportional to 13,858.28, 20,780.11 and 9,476.99 is: 14,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.28 : 20,780.11 = 9,476.99 : x
  2. Step 2: Convert to fraction form
    13,858.28/20,780.11 = 9,476.99/x
  3. Step 3: Cross multiply
    13,858.28x = 20,780.11 × 9,476.99
  4. Step 4: Simplify right side
    13,858.28x = 196,932,894.67
  5. Step 5: Solve for x
    x = 196,932,894.67/13,858.28
  6. Step 6: Final answer
    x = 14,210.49

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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.