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Finding the Fourth Proportional to 27,892.92, 38,492.24 and 15,317.67

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Solution

The fourth proportional to 27,892.92, 38,492.24 and 15,317.67 is: 21,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.92 : 38,492.24 = 15,317.67 : x
  2. Step 2: Convert to fraction form
    27,892.92/38,492.24 = 15,317.67/x
  3. Step 3: Cross multiply
    27,892.92x = 38,492.24 × 15,317.67
  4. Step 4: Simplify right side
    27,892.92x = 589,611,353.29
  5. Step 5: Solve for x
    x = 589,611,353.29/27,892.92
  6. Step 6: Final answer
    x = 21,138.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.