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Finding the Fourth Proportional to 27,921, 38,513.68 and 18,362

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Solution

The fourth proportional to 27,921, 38,513.68 and 18,362 is: 25,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,921 : 38,513.68 = 18,362 : x
  2. Step 2: Convert to fraction form
    27,921/38,513.68 = 18,362/x
  3. Step 3: Cross multiply
    27,921x = 38,513.68 × 18,362
  4. Step 4: Simplify right side
    27,921x = 707,188,192.16
  5. Step 5: Solve for x
    x = 707,188,192.16/27,921
  6. Step 6: Final answer
    x = 25,328.18

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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.