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Finding the Fourth Proportional to 15,624.84, 23,446.40 and 5,771

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Solution

The fourth proportional to 15,624.84, 23,446.40 and 5,771 is: 8,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624.84 : 23,446.40 = 5,771 : x
  2. Step 2: Convert to fraction form
    15,624.84/23,446.40 = 5,771/x
  3. Step 3: Cross multiply
    15,624.84x = 23,446.40 × 5,771
  4. Step 4: Simplify right side
    15,624.84x = 135,309,174.40
  5. Step 5: Solve for x
    x = 135,309,174.40/15,624.84
  6. Step 6: Final answer
    x = 8,659.88

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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.