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Finding the Fourth Proportional to 12,821.68, 17,682.06 and 9,837.64

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Solution

The fourth proportional to 12,821.68, 17,682.06 and 9,837.64 is: 13,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.68 : 17,682.06 = 9,837.64 : x
  2. Step 2: Convert to fraction form
    12,821.68/17,682.06 = 9,837.64/x
  3. Step 3: Cross multiply
    12,821.68x = 17,682.06 × 9,837.64
  4. Step 4: Simplify right side
    12,821.68x = 173,949,740.74
  5. Step 5: Solve for x
    x = 173,949,740.74/12,821.68
  6. Step 6: Final answer
    x = 13,566.84

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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.