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Finding the Fourth Proportional to 15,585.38, 23,379.28 and 5,197.12

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Solution

The fourth proportional to 15,585.38, 23,379.28 and 5,197.12 is: 7,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.38 : 23,379.28 = 5,197.12 : x
  2. Step 2: Convert to fraction form
    15,585.38/23,379.28 = 5,197.12/x
  3. Step 3: Cross multiply
    15,585.38x = 23,379.28 × 5,197.12
  4. Step 4: Simplify right side
    15,585.38x = 121,504,923.67
  5. Step 5: Solve for x
    x = 121,504,923.67/15,585.38
  6. Step 6: Final answer
    x = 7,796.08

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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.