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Finding the Fourth Proportional to 13,762.44, 20,635.29 and 7,513.76

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Solution

The fourth proportional to 13,762.44, 20,635.29 and 7,513.76 is: 11,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.44 : 20,635.29 = 7,513.76 : x
  2. Step 2: Convert to fraction form
    13,762.44/20,635.29 = 7,513.76/x
  3. Step 3: Cross multiply
    13,762.44x = 20,635.29 × 7,513.76
  4. Step 4: Simplify right side
    13,762.44x = 155,048,668.18
  5. Step 5: Solve for x
    x = 155,048,668.18/13,762.44
  6. Step 6: Final answer
    x = 11,266.07

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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.