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Finding the Fourth Proportional to 13,107.34, 19,662.74 and 4,220

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Solution

The fourth proportional to 13,107.34, 19,662.74 and 4,220 is: 6,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.34 : 19,662.74 = 4,220 : x
  2. Step 2: Convert to fraction form
    13,107.34/19,662.74 = 4,220/x
  3. Step 3: Cross multiply
    13,107.34x = 19,662.74 × 4,220
  4. Step 4: Simplify right side
    13,107.34x = 82,976,762.80
  5. Step 5: Solve for x
    x = 82,976,762.80/13,107.34
  6. Step 6: Final answer
    x = 6,330.56

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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.