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Finding the Fourth Proportional to 19,597.84, 29,400.96 and 6,449.68

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Solution

The fourth proportional to 19,597.84, 29,400.96 and 6,449.68 is: 9,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.84 : 29,400.96 = 6,449.68 : x
  2. Step 2: Convert to fraction form
    19,597.84/29,400.96 = 6,449.68/x
  3. Step 3: Cross multiply
    19,597.84x = 29,400.96 × 6,449.68
  4. Step 4: Simplify right side
    19,597.84x = 189,626,783.69
  5. Step 5: Solve for x
    x = 189,626,783.69/19,597.84
  6. Step 6: Final answer
    x = 9,675.90

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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.