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Finding the Fourth Proportional to 27,170.40, 37,492.56 and 15,231

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Solution

The fourth proportional to 27,170.40, 37,492.56 and 15,231 is: 21,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.40 : 37,492.56 = 15,231 : x
  2. Step 2: Convert to fraction form
    27,170.40/37,492.56 = 15,231/x
  3. Step 3: Cross multiply
    27,170.40x = 37,492.56 × 15,231
  4. Step 4: Simplify right side
    27,170.40x = 571,049,181.36
  5. Step 5: Solve for x
    x = 571,049,181.36/27,170.40
  6. Step 6: Final answer
    x = 21,017.33

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