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Finding the Fourth Proportional to 27,829.72, 38,407.79 and 15,894.86

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Solution

The fourth proportional to 27,829.72, 38,407.79 and 15,894.86 is: 21,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.72 : 38,407.79 = 15,894.86 : x
  2. Step 2: Convert to fraction form
    27,829.72/38,407.79 = 15,894.86/x
  3. Step 3: Cross multiply
    27,829.72x = 38,407.79 × 15,894.86
  4. Step 4: Simplify right side
    27,829.72x = 610,486,444.96
  5. Step 5: Solve for x
    x = 610,486,444.96/27,829.72
  6. Step 6: Final answer
    x = 21,936.49

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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.