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Finding the Fourth Proportional to 14,556.44, 20,072 and 9,832.52

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Solution

The fourth proportional to 14,556.44, 20,072 and 9,832.52 is: 13,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.44 : 20,072 = 9,832.52 : x
  2. Step 2: Convert to fraction form
    14,556.44/20,072 = 9,832.52/x
  3. Step 3: Cross multiply
    14,556.44x = 20,072 × 9,832.52
  4. Step 4: Simplify right side
    14,556.44x = 197,358,341.44
  5. Step 5: Solve for x
    x = 197,358,341.44/14,556.44
  6. Step 6: Final answer
    x = 13,558.15

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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.