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Finding the Fourth Proportional to 17,827.81, 26,712.09 and 12,551.77

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Solution

The fourth proportional to 17,827.81, 26,712.09 and 12,551.77 is: 18,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.81 : 26,712.09 = 12,551.77 : x
  2. Step 2: Convert to fraction form
    17,827.81/26,712.09 = 12,551.77/x
  3. Step 3: Cross multiply
    17,827.81x = 26,712.09 × 12,551.77
  4. Step 4: Simplify right side
    17,827.81x = 335,283,943.12
  5. Step 5: Solve for x
    x = 335,283,943.12/17,827.81
  6. Step 6: Final answer
    x = 18,806.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.