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Finding the Fourth Proportional to 14,513.05, 20,023.54 and 9,400.47

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Solution

The fourth proportional to 14,513.05, 20,023.54 and 9,400.47 is: 12,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.05 : 20,023.54 = 9,400.47 : x
  2. Step 2: Convert to fraction form
    14,513.05/20,023.54 = 9,400.47/x
  3. Step 3: Cross multiply
    14,513.05x = 20,023.54 × 9,400.47
  4. Step 4: Simplify right side
    14,513.05x = 188,230,687.06
  5. Step 5: Solve for x
    x = 188,230,687.06/14,513.05
  6. Step 6: Final answer
    x = 12,969.75

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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.