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Finding the Fourth Proportional to 24,015.12, 36,014.96 and 8,001.20

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Solution

The fourth proportional to 24,015.12, 36,014.96 and 8,001.20 is: 11,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.12 : 36,014.96 = 8,001.20 : x
  2. Step 2: Convert to fraction form
    24,015.12/36,014.96 = 8,001.20/x
  3. Step 3: Cross multiply
    24,015.12x = 36,014.96 × 8,001.20
  4. Step 4: Simplify right side
    24,015.12x = 288,162,897.95
  5. Step 5: Solve for x
    x = 288,162,897.95/24,015.12
  6. Step 6: Final answer
    x = 11,999.23

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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.