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Finding the Fourth Proportional to 23,460.78, 35,196.48 and 7,878

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Solution

The fourth proportional to 23,460.78, 35,196.48 and 7,878 is: 11,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460.78 : 35,196.48 = 7,878 : x
  2. Step 2: Convert to fraction form
    23,460.78/35,196.48 = 7,878/x
  3. Step 3: Cross multiply
    23,460.78x = 35,196.48 × 7,878
  4. Step 4: Simplify right side
    23,460.78x = 277,277,869.44
  5. Step 5: Solve for x
    x = 277,277,869.44/23,460.78
  6. Step 6: Final answer
    x = 11,818.78

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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.