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Finding the Fourth Proportional to 24,006.51, 36,009.90 and 9,211.86

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Solution

The fourth proportional to 24,006.51, 36,009.90 and 9,211.86 is: 13,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.51 : 36,009.90 = 9,211.86 : x
  2. Step 2: Convert to fraction form
    24,006.51/36,009.90 = 9,211.86/x
  3. Step 3: Cross multiply
    24,006.51x = 36,009.90 × 9,211.86
  4. Step 4: Simplify right side
    24,006.51x = 331,718,157.41
  5. Step 5: Solve for x
    x = 331,718,157.41/24,006.51
  6. Step 6: Final answer
    x = 13,817.84

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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.