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Finding the Fourth Proportional to 18,042.21, 24,857.51 and 12,586.05

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Solution

The fourth proportional to 18,042.21, 24,857.51 and 12,586.05 is: 17,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.21 : 24,857.51 = 12,586.05 : x
  2. Step 2: Convert to fraction form
    18,042.21/24,857.51 = 12,586.05/x
  3. Step 3: Cross multiply
    18,042.21x = 24,857.51 × 12,586.05
  4. Step 4: Simplify right side
    18,042.21x = 312,857,800.81
  5. Step 5: Solve for x
    x = 312,857,800.81/18,042.21
  6. Step 6: Final answer
    x = 17,340.33

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Why These Related Problems?

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