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Finding the Fourth Proportional to 23,167.72, 34,756.70 and 10,849

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Solution

The fourth proportional to 23,167.72, 34,756.70 and 10,849 is: 16,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.72 : 34,756.70 = 10,849 : x
  2. Step 2: Convert to fraction form
    23,167.72/34,756.70 = 10,849/x
  3. Step 3: Cross multiply
    23,167.72x = 34,756.70 × 10,849
  4. Step 4: Simplify right side
    23,167.72x = 377,075,438.30
  5. Step 5: Solve for x
    x = 377,075,438.30/23,167.72
  6. Step 6: Final answer
    x = 16,275.90

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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.