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Finding the Fourth Proportional to 14,311.72, 21,473.70 and 7,391.08

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Solution

The fourth proportional to 14,311.72, 21,473.70 and 7,391.08 is: 11,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.72 : 21,473.70 = 7,391.08 : x
  2. Step 2: Convert to fraction form
    14,311.72/21,473.70 = 7,391.08/x
  3. Step 3: Cross multiply
    14,311.72x = 21,473.70 × 7,391.08
  4. Step 4: Simplify right side
    14,311.72x = 158,713,834.60
  5. Step 5: Solve for x
    x = 158,713,834.60/14,311.72
  6. Step 6: Final answer
    x = 11,089.78

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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.