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Finding the Fourth Proportional to 14,509.79, 20,034.83 and 11,147.28

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Solution

The fourth proportional to 14,509.79, 20,034.83 and 11,147.28 is: 15,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.79 : 20,034.83 = 11,147.28 : x
  2. Step 2: Convert to fraction form
    14,509.79/20,034.83 = 11,147.28/x
  3. Step 3: Cross multiply
    14,509.79x = 20,034.83 × 11,147.28
  4. Step 4: Simplify right side
    14,509.79x = 223,333,804.03
  5. Step 5: Solve for x
    x = 223,333,804.03/14,509.79
  6. Step 6: Final answer
    x = 15,391.94

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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.