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Finding the Fourth Proportional to 14,544.14, 20,078.51 and 9,789.08

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Solution

The fourth proportional to 14,544.14, 20,078.51 and 9,789.08 is: 13,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.14 : 20,078.51 = 9,789.08 : x
  2. Step 2: Convert to fraction form
    14,544.14/20,078.51 = 9,789.08/x
  3. Step 3: Cross multiply
    14,544.14x = 20,078.51 × 9,789.08
  4. Step 4: Simplify right side
    14,544.14x = 196,549,991.33
  5. Step 5: Solve for x
    x = 196,549,991.33/14,544.14
  6. Step 6: Final answer
    x = 13,514.04

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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.