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Finding the Fourth Proportional to 13,242.34, 19,863.51 and 6,295.78

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Solution

The fourth proportional to 13,242.34, 19,863.51 and 6,295.78 is: 9,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.34 : 19,863.51 = 6,295.78 : x
  2. Step 2: Convert to fraction form
    13,242.34/19,863.51 = 6,295.78/x
  3. Step 3: Cross multiply
    13,242.34x = 19,863.51 × 6,295.78
  4. Step 4: Simplify right side
    13,242.34x = 125,056,288.99
  5. Step 5: Solve for x
    x = 125,056,288.99/13,242.34
  6. Step 6: Final answer
    x = 9,443.67

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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.