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Finding the Fourth Proportional to 30,561.84, 45,855.80 and 12,796.64

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Solution

The fourth proportional to 30,561.84, 45,855.80 and 12,796.64 is: 19,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.84 : 45,855.80 = 12,796.64 : x
  2. Step 2: Convert to fraction form
    30,561.84/45,855.80 = 12,796.64/x
  3. Step 3: Cross multiply
    30,561.84x = 45,855.80 × 12,796.64
  4. Step 4: Simplify right side
    30,561.84x = 586,800,164.51
  5. Step 5: Solve for x
    x = 586,800,164.51/30,561.84
  6. Step 6: Final answer
    x = 19,200.42

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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.