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Finding the Fourth Proportional to 30,515.87, 45,780.80 and 11,796.06

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Solution

The fourth proportional to 30,515.87, 45,780.80 and 11,796.06 is: 17,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.87 : 45,780.80 = 11,796.06 : x
  2. Step 2: Convert to fraction form
    30,515.87/45,780.80 = 11,796.06/x
  3. Step 3: Cross multiply
    30,515.87x = 45,780.80 × 11,796.06
  4. Step 4: Simplify right side
    30,515.87x = 540,033,176.35
  5. Step 5: Solve for x
    x = 540,033,176.35/30,515.87
  6. Step 6: Final answer
    x = 17,696.80

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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.