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Finding the Fourth Proportional to 15,632.97, 23,460.39 and 6,874.02

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Solution

The fourth proportional to 15,632.97, 23,460.39 and 6,874.02 is: 10,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.97 : 23,460.39 = 6,874.02 : x
  2. Step 2: Convert to fraction form
    15,632.97/23,460.39 = 6,874.02/x
  3. Step 3: Cross multiply
    15,632.97x = 23,460.39 × 6,874.02
  4. Step 4: Simplify right side
    15,632.97x = 161,267,190.07
  5. Step 5: Solve for x
    x = 161,267,190.07/15,632.97
  6. Step 6: Final answer
    x = 10,315.84

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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.