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Finding the Fourth Proportional to 13,244.34, 19,866.51 and 6,297.78

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Solution

The fourth proportional to 13,244.34, 19,866.51 and 6,297.78 is: 9,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.34 : 19,866.51 = 6,297.78 : x
  2. Step 2: Convert to fraction form
    13,244.34/19,866.51 = 6,297.78/x
  3. Step 3: Cross multiply
    13,244.34x = 19,866.51 × 6,297.78
  4. Step 4: Simplify right side
    13,244.34x = 125,114,909.35
  5. Step 5: Solve for x
    x = 125,114,909.35/13,244.34
  6. Step 6: Final answer
    x = 9,446.67

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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.