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Finding the Fourth Proportional to 15,811.22, 23,714.39 and 8,677.96

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Solution

The fourth proportional to 15,811.22, 23,714.39 and 8,677.96 is: 13,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.22 : 23,714.39 = 8,677.96 : x
  2. Step 2: Convert to fraction form
    15,811.22/23,714.39 = 8,677.96/x
  3. Step 3: Cross multiply
    15,811.22x = 23,714.39 × 8,677.96
  4. Step 4: Simplify right side
    15,811.22x = 205,792,490.25
  5. Step 5: Solve for x
    x = 205,792,490.25/15,811.22
  6. Step 6: Final answer
    x = 13,015.60

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Why These Related Problems?

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