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Finding the Fourth Proportional to 12,806.22, 17,653.23 and 10,006.86

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Solution

The fourth proportional to 12,806.22, 17,653.23 and 10,006.86 is: 13,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.22 : 17,653.23 = 10,006.86 : x
  2. Step 2: Convert to fraction form
    12,806.22/17,653.23 = 10,006.86/x
  3. Step 3: Cross multiply
    12,806.22x = 17,653.23 × 10,006.86
  4. Step 4: Simplify right side
    12,806.22x = 176,653,401.16
  5. Step 5: Solve for x
    x = 176,653,401.16/12,806.22
  6. Step 6: Final answer
    x = 13,794.34

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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.