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Finding the Fourth Proportional to 13,996.64, 19,292.85 and 9,457.90

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Solution

The fourth proportional to 13,996.64, 19,292.85 and 9,457.90 is: 13,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.64 : 19,292.85 = 9,457.90 : x
  2. Step 2: Convert to fraction form
    13,996.64/19,292.85 = 9,457.90/x
  3. Step 3: Cross multiply
    13,996.64x = 19,292.85 × 9,457.90
  4. Step 4: Simplify right side
    13,996.64x = 182,469,846.02
  5. Step 5: Solve for x
    x = 182,469,846.02/13,996.64
  6. Step 6: Final answer
    x = 13,036.69

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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.