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Finding the Fourth Proportional to 27,664.87, 38,172.12 and 15,726.17

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Solution

The fourth proportional to 27,664.87, 38,172.12 and 15,726.17 is: 21,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664.87 : 38,172.12 = 15,726.17 : x
  2. Step 2: Convert to fraction form
    27,664.87/38,172.12 = 15,726.17/x
  3. Step 3: Cross multiply
    27,664.87x = 38,172.12 × 15,726.17
  4. Step 4: Simplify right side
    27,664.87x = 600,301,248.38
  5. Step 5: Solve for x
    x = 600,301,248.38/27,664.87
  6. Step 6: Final answer
    x = 21,699.04

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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.