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Finding the Fourth Proportional to 13,815.34, 19,063.74 and 7,847.52

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Solution

The fourth proportional to 13,815.34, 19,063.74 and 7,847.52 is: 10,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.34 : 19,063.74 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    13,815.34/19,063.74 = 7,847.52/x
  3. Step 3: Cross multiply
    13,815.34x = 19,063.74 × 7,847.52
  4. Step 4: Simplify right side
    13,815.34x = 149,603,080.92
  5. Step 5: Solve for x
    x = 149,603,080.92/13,815.34
  6. Step 6: Final answer
    x = 10,828.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.