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Finding the Fourth Proportional to 27,994.41, 42,007.05 and 15,512.78

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Solution

The fourth proportional to 27,994.41, 42,007.05 and 15,512.78 is: 23,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.41 : 42,007.05 = 15,512.78 : x
  2. Step 2: Convert to fraction form
    27,994.41/42,007.05 = 15,512.78/x
  3. Step 3: Cross multiply
    27,994.41x = 42,007.05 × 15,512.78
  4. Step 4: Simplify right side
    27,994.41x = 651,645,837.50
  5. Step 5: Solve for x
    x = 651,645,837.50/27,994.41
  6. Step 6: Final answer
    x = 23,277.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.