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Finding the Fourth Proportional to 15,923.82, 23,867.82 and 7,597.02

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Solution

The fourth proportional to 15,923.82, 23,867.82 and 7,597.02 is: 11,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.82 : 23,867.82 = 7,597.02 : x
  2. Step 2: Convert to fraction form
    15,923.82/23,867.82 = 7,597.02/x
  3. Step 3: Cross multiply
    15,923.82x = 23,867.82 × 7,597.02
  4. Step 4: Simplify right side
    15,923.82x = 181,324,305.90
  5. Step 5: Solve for x
    x = 181,324,305.90/15,923.82
  6. Step 6: Final answer
    x = 11,386.99

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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.