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Finding the Fourth Proportional to 18,106.82, 24,989.72 and 10,149.05

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Solution

The fourth proportional to 18,106.82, 24,989.72 and 10,149.05 is: 14,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.82 : 24,989.72 = 10,149.05 : x
  2. Step 2: Convert to fraction form
    18,106.82/24,989.72 = 10,149.05/x
  3. Step 3: Cross multiply
    18,106.82x = 24,989.72 × 10,149.05
  4. Step 4: Simplify right side
    18,106.82x = 253,621,853.15
  5. Step 5: Solve for x
    x = 253,621,853.15/18,106.82
  6. Step 6: Final answer
    x = 14,006.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.