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Finding the Fourth Proportional to 27,638.59, 38,142.28 and 15,703.94

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Solution

The fourth proportional to 27,638.59, 38,142.28 and 15,703.94 is: 21,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.59 : 38,142.28 = 15,703.94 : x
  2. Step 2: Convert to fraction form
    27,638.59/38,142.28 = 15,703.94/x
  3. Step 3: Cross multiply
    27,638.59x = 38,142.28 × 15,703.94
  4. Step 4: Simplify right side
    27,638.59x = 598,983,998.06
  5. Step 5: Solve for x
    x = 598,983,998.06/27,638.59
  6. Step 6: Final answer
    x = 21,672.02

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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.