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Finding the Fourth Proportional to 15,677.84, 23,512.44 and 11,258.48

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Solution

The fourth proportional to 15,677.84, 23,512.44 and 11,258.48 is: 16,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.84 : 23,512.44 = 11,258.48 : x
  2. Step 2: Convert to fraction form
    15,677.84/23,512.44 = 11,258.48/x
  3. Step 3: Cross multiply
    15,677.84x = 23,512.44 × 11,258.48
  4. Step 4: Simplify right side
    15,677.84x = 264,714,335.49
  5. Step 5: Solve for x
    x = 264,714,335.49/15,677.84
  6. Step 6: Final answer
    x = 16,884.62

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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.