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Finding the Fourth Proportional to 12,806.08, 17,680.46 and 9,816.28

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Solution

The fourth proportional to 12,806.08, 17,680.46 and 9,816.28 is: 13,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.08 : 17,680.46 = 9,816.28 : x
  2. Step 2: Convert to fraction form
    12,806.08/17,680.46 = 9,816.28/x
  3. Step 3: Cross multiply
    12,806.08x = 17,680.46 × 9,816.28
  4. Step 4: Simplify right side
    12,806.08x = 173,556,345.89
  5. Step 5: Solve for x
    x = 173,556,345.89/12,806.08
  6. Step 6: Final answer
    x = 13,552.65

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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.