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Finding the Fourth Proportional to 13,894.70, 20,842.07 and 3,506.45

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Solution

The fourth proportional to 13,894.70, 20,842.07 and 3,506.45 is: 5,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.70 : 20,842.07 = 3,506.45 : x
  2. Step 2: Convert to fraction form
    13,894.70/20,842.07 = 3,506.45/x
  3. Step 3: Cross multiply
    13,894.70x = 20,842.07 × 3,506.45
  4. Step 4: Simplify right side
    13,894.70x = 73,081,554.61
  5. Step 5: Solve for x
    x = 73,081,554.61/13,894.70
  6. Step 6: Final answer
    x = 5,259.67

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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.