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Finding the Fourth Proportional to 30,740.80, 46,102.09 and 13,206.53

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Solution

The fourth proportional to 30,740.80, 46,102.09 and 13,206.53 is: 19,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.80 : 46,102.09 = 13,206.53 : x
  2. Step 2: Convert to fraction form
    30,740.80/46,102.09 = 13,206.53/x
  3. Step 3: Cross multiply
    30,740.80x = 46,102.09 × 13,206.53
  4. Step 4: Simplify right side
    30,740.80x = 608,848,634.65
  5. Step 5: Solve for x
    x = 608,848,634.65/30,740.80
  6. Step 6: Final answer
    x = 19,805.88

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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.