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Finding the Fourth Proportional to 23,144.40, 31,937.76 and 14,760

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Solution

The fourth proportional to 23,144.40, 31,937.76 and 14,760 is: 20,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.40 : 31,937.76 = 14,760 : x
  2. Step 2: Convert to fraction form
    23,144.40/31,937.76 = 14,760/x
  3. Step 3: Cross multiply
    23,144.40x = 31,937.76 × 14,760
  4. Step 4: Simplify right side
    23,144.40x = 471,401,337.60
  5. Step 5: Solve for x
    x = 471,401,337.60/23,144.40
  6. Step 6: Final answer
    x = 20,367.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.