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Finding the Fourth Proportional to 18,294.34, 27,438.64 and 5,812.72

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Solution

The fourth proportional to 18,294.34, 27,438.64 and 5,812.72 is: 8,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294.34 : 27,438.64 = 5,812.72 : x
  2. Step 2: Convert to fraction form
    18,294.34/27,438.64 = 5,812.72/x
  3. Step 3: Cross multiply
    18,294.34x = 27,438.64 × 5,812.72
  4. Step 4: Simplify right side
    18,294.34x = 159,493,131.50
  5. Step 5: Solve for x
    x = 159,493,131.50/18,294.34
  6. Step 6: Final answer
    x = 8,718.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.