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Finding the Fourth Proportional to 15,864.75, 23,796.21 and 4,771.23

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Solution

The fourth proportional to 15,864.75, 23,796.21 and 4,771.23 is: 7,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.75 : 23,796.21 = 4,771.23 : x
  2. Step 2: Convert to fraction form
    15,864.75/23,796.21 = 4,771.23/x
  3. Step 3: Cross multiply
    15,864.75x = 23,796.21 × 4,771.23
  4. Step 4: Simplify right side
    15,864.75x = 113,537,191.04
  5. Step 5: Solve for x
    x = 113,537,191.04/15,864.75
  6. Step 6: Final answer
    x = 7,156.57

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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.