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Finding the Fourth Proportional to 27,892.72, 38,492.00 and 15,145.92

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Solution

The fourth proportional to 27,892.72, 38,492.00 and 15,145.92 is: 20,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.72 : 38,492.00 = 15,145.92 : x
  2. Step 2: Convert to fraction form
    27,892.72/38,492.00 = 15,145.92/x
  3. Step 3: Cross multiply
    27,892.72x = 38,492.00 × 15,145.92
  4. Step 4: Simplify right side
    27,892.72x = 582,996,733.71
  5. Step 5: Solve for x
    x = 582,996,733.71/27,892.72
  6. Step 6: Final answer
    x = 20,901.39

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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.