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Finding the Fourth Proportional to 14,814.82, 20,444.97 and 9,783.46

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Solution

The fourth proportional to 14,814.82, 20,444.97 and 9,783.46 is: 13,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.82 : 20,444.97 = 9,783.46 : x
  2. Step 2: Convert to fraction form
    14,814.82/20,444.97 = 9,783.46/x
  3. Step 3: Cross multiply
    14,814.82x = 20,444.97 × 9,783.46
  4. Step 4: Simplify right side
    14,814.82x = 200,022,546.20
  5. Step 5: Solve for x
    x = 200,022,546.20/14,814.82
  6. Step 6: Final answer
    x = 13,501.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.