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Finding the Fourth Proportional to 12,794.78, 17,657.30 and 7,417.41

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Solution

The fourth proportional to 12,794.78, 17,657.30 and 7,417.41 is: 10,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.78 : 17,657.30 = 7,417.41 : x
  2. Step 2: Convert to fraction form
    12,794.78/17,657.30 = 7,417.41/x
  3. Step 3: Cross multiply
    12,794.78x = 17,657.30 × 7,417.41
  4. Step 4: Simplify right side
    12,794.78x = 130,971,433.59
  5. Step 5: Solve for x
    x = 130,971,433.59/12,794.78
  6. Step 6: Final answer
    x = 10,236.32

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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.