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Finding the Fourth Proportional to 13,113.82, 19,694.22 and 12,585.30

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Solution

The fourth proportional to 13,113.82, 19,694.22 and 12,585.30 is: 18,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.82 : 19,694.22 = 12,585.30 : x
  2. Step 2: Convert to fraction form
    13,113.82/19,694.22 = 12,585.30/x
  3. Step 3: Cross multiply
    13,113.82x = 19,694.22 × 12,585.30
  4. Step 4: Simplify right side
    13,113.82x = 247,857,666.97
  5. Step 5: Solve for x
    x = 247,857,666.97/13,113.82
  6. Step 6: Final answer
    x = 18,900.49

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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.