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Finding the Fourth Proportional to 13,776.09, 20,652.63 and 6,385.83

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Solution

The fourth proportional to 13,776.09, 20,652.63 and 6,385.83 is: 9,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.09 : 20,652.63 = 6,385.83 : x
  2. Step 2: Convert to fraction form
    13,776.09/20,652.63 = 6,385.83/x
  3. Step 3: Cross multiply
    13,776.09x = 20,652.63 × 6,385.83
  4. Step 4: Simplify right side
    13,776.09x = 131,884,184.23
  5. Step 5: Solve for x
    x = 131,884,184.23/13,776.09
  6. Step 6: Final answer
    x = 9,573.41

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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.