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Finding the Fourth Proportional to 13,857.78, 20,779.37 and 9,476.49

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Solution

The fourth proportional to 13,857.78, 20,779.37 and 9,476.49 is: 14,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.78 : 20,779.37 = 9,476.49 : x
  2. Step 2: Convert to fraction form
    13,857.78/20,779.37 = 9,476.49/x
  3. Step 3: Cross multiply
    13,857.78x = 20,779.37 × 9,476.49
  4. Step 4: Simplify right side
    13,857.78x = 196,915,444.63
  5. Step 5: Solve for x
    x = 196,915,444.63/13,857.78
  6. Step 6: Final answer
    x = 14,209.74

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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.