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Finding the Fourth Proportional to 23,632.72, 32,613 and 14,201.20

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Solution

The fourth proportional to 23,632.72, 32,613 and 14,201.20 is: 19,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.72 : 32,613 = 14,201.20 : x
  2. Step 2: Convert to fraction form
    23,632.72/32,613 = 14,201.20/x
  3. Step 3: Cross multiply
    23,632.72x = 32,613 × 14,201.20
  4. Step 4: Simplify right side
    23,632.72x = 463,143,735.60
  5. Step 5: Solve for x
    x = 463,143,735.60/23,632.72
  6. Step 6: Final answer
    x = 19,597.56

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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.