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Finding the Fourth Proportional to 27,936, 38,543.04 and 18,509.76

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Solution

The fourth proportional to 27,936, 38,543.04 and 18,509.76 is: 25,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,936 : 38,543.04 = 18,509.76 : x
  2. Step 2: Convert to fraction form
    27,936/38,543.04 = 18,509.76/x
  3. Step 3: Cross multiply
    27,936x = 38,543.04 × 18,509.76
  4. Step 4: Simplify right side
    27,936x = 713,422,420.07
  5. Step 5: Solve for x
    x = 713,422,420.07/27,936
  6. Step 6: Final answer
    x = 25,537.74

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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.