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Finding the Fourth Proportional to 15,645.81, 23,452.92 and 9,806.52

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Solution

The fourth proportional to 15,645.81, 23,452.92 and 9,806.52 is: 14,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.81 : 23,452.92 = 9,806.52 : x
  2. Step 2: Convert to fraction form
    15,645.81/23,452.92 = 9,806.52/x
  3. Step 3: Cross multiply
    15,645.81x = 23,452.92 × 9,806.52
  4. Step 4: Simplify right side
    15,645.81x = 229,991,529.04
  5. Step 5: Solve for x
    x = 229,991,529.04/15,645.81
  6. Step 6: Final answer
    x = 14,699.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.