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Finding the Fourth Proportional to 15,919.14, 23,870.50 and 7,146.53

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Solution

The fourth proportional to 15,919.14, 23,870.50 and 7,146.53 is: 10,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.14 : 23,870.50 = 7,146.53 : x
  2. Step 2: Convert to fraction form
    15,919.14/23,870.50 = 7,146.53/x
  3. Step 3: Cross multiply
    15,919.14x = 23,870.50 × 7,146.53
  4. Step 4: Simplify right side
    15,919.14x = 170,591,244.37
  5. Step 5: Solve for x
    x = 170,591,244.37/15,919.14
  6. Step 6: Final answer
    x = 10,716.11

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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.