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Finding the Fourth Proportional to 23,002.94, 34,475.55 and 9,839.84

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Solution

The fourth proportional to 23,002.94, 34,475.55 and 9,839.84 is: 14,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.94 : 34,475.55 = 9,839.84 : x
  2. Step 2: Convert to fraction form
    23,002.94/34,475.55 = 9,839.84/x
  3. Step 3: Cross multiply
    23,002.94x = 34,475.55 × 9,839.84
  4. Step 4: Simplify right side
    23,002.94x = 339,233,895.91
  5. Step 5: Solve for x
    x = 339,233,895.91/23,002.94
  6. Step 6: Final answer
    x = 14,747.41

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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.