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Finding the Fourth Proportional to 14,600.64, 20,147.73 and 9,556.89

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Solution

The fourth proportional to 14,600.64, 20,147.73 and 9,556.89 is: 13,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.64 : 20,147.73 = 9,556.89 : x
  2. Step 2: Convert to fraction form
    14,600.64/20,147.73 = 9,556.89/x
  3. Step 3: Cross multiply
    14,600.64x = 20,147.73 × 9,556.89
  4. Step 4: Simplify right side
    14,600.64x = 192,549,639.36
  5. Step 5: Solve for x
    x = 192,549,639.36/14,600.64
  6. Step 6: Final answer
    x = 13,187.75

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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.