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Finding the Fourth Proportional to 27,169, 37,492.68 and 15,233.38

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Solution

The fourth proportional to 27,169, 37,492.68 and 15,233.38 is: 21,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169 : 37,492.68 = 15,233.38 : x
  2. Step 2: Convert to fraction form
    27,169/37,492.68 = 15,233.38/x
  3. Step 3: Cross multiply
    27,169x = 37,492.68 × 15,233.38
  4. Step 4: Simplify right side
    27,169x = 571,140,241.66
  5. Step 5: Solve for x
    x = 571,140,241.66/27,169
  6. Step 6: Final answer
    x = 21,021.76

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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.