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Finding the Fourth Proportional to 12,026.86, 18,040.53 and 4,129.32

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Solution

The fourth proportional to 12,026.86, 18,040.53 and 4,129.32 is: 6,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.86 : 18,040.53 = 4,129.32 : x
  2. Step 2: Convert to fraction form
    12,026.86/18,040.53 = 4,129.32/x
  3. Step 3: Cross multiply
    12,026.86x = 18,040.53 × 4,129.32
  4. Step 4: Simplify right side
    12,026.86x = 74,495,121.34
  5. Step 5: Solve for x
    x = 74,495,121.34/12,026.86
  6. Step 6: Final answer
    x = 6,194.06

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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.