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Finding the Fourth Proportional to 19,645.84, 29,449.56 and 6,489.46

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Solution

The fourth proportional to 19,645.84, 29,449.56 and 6,489.46 is: 9,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.84 : 29,449.56 = 6,489.46 : x
  2. Step 2: Convert to fraction form
    19,645.84/29,449.56 = 6,489.46/x
  3. Step 3: Cross multiply
    19,645.84x = 29,449.56 × 6,489.46
  4. Step 4: Simplify right side
    19,645.84x = 191,111,741.64
  5. Step 5: Solve for x
    x = 191,111,741.64/19,645.84
  6. Step 6: Final answer
    x = 9,727.85

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