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Finding the Fourth Proportional to 14,782.10, 20,399.27 and 9,476.91

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Solution

The fourth proportional to 14,782.10, 20,399.27 and 9,476.91 is: 13,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.10 : 20,399.27 = 9,476.91 : x
  2. Step 2: Convert to fraction form
    14,782.10/20,399.27 = 9,476.91/x
  3. Step 3: Cross multiply
    14,782.10x = 20,399.27 × 9,476.91
  4. Step 4: Simplify right side
    14,782.10x = 193,321,998.47
  5. Step 5: Solve for x
    x = 193,321,998.47/14,782.10
  6. Step 6: Final answer
    x = 13,078.12

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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.