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Finding the Fourth Proportional to 14,668.70, 20,237.48 and 9,635.63

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Solution

The fourth proportional to 14,668.70, 20,237.48 and 9,635.63 is: 13,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.70 : 20,237.48 = 9,635.63 : x
  2. Step 2: Convert to fraction form
    14,668.70/20,237.48 = 9,635.63/x
  3. Step 3: Cross multiply
    14,668.70x = 20,237.48 × 9,635.63
  4. Step 4: Simplify right side
    14,668.70x = 195,000,756.18
  5. Step 5: Solve for x
    x = 195,000,756.18/14,668.70
  6. Step 6: Final answer
    x = 13,293.67

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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.