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Finding the Fourth Proportional to 23,815.74, 35,710.97 and 8,015.50

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Solution

The fourth proportional to 23,815.74, 35,710.97 and 8,015.50 is: 12,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.74 : 35,710.97 = 8,015.50 : x
  2. Step 2: Convert to fraction form
    23,815.74/35,710.97 = 8,015.50/x
  3. Step 3: Cross multiply
    23,815.74x = 35,710.97 × 8,015.50
  4. Step 4: Simplify right side
    23,815.74x = 286,241,150.68
  5. Step 5: Solve for x
    x = 286,241,150.68/23,815.74
  6. Step 6: Final answer
    x = 12,018.99

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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.