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Finding the Fourth Proportional to 15,858.81, 23,780.76 and 9,197.20

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Solution

The fourth proportional to 15,858.81, 23,780.76 and 9,197.20 is: 13,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.81 : 23,780.76 = 9,197.20 : x
  2. Step 2: Convert to fraction form
    15,858.81/23,780.76 = 9,197.20/x
  3. Step 3: Cross multiply
    15,858.81x = 23,780.76 × 9,197.20
  4. Step 4: Simplify right side
    15,858.81x = 218,716,399.14
  5. Step 5: Solve for x
    x = 218,716,399.14/15,858.81
  6. Step 6: Final answer
    x = 13,791.48

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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.