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Finding the Fourth Proportional to 13,532.54, 20,295.14 and 4,762.67

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Solution

The fourth proportional to 13,532.54, 20,295.14 and 4,762.67 is: 7,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.54 : 20,295.14 = 4,762.67 : x
  2. Step 2: Convert to fraction form
    13,532.54/20,295.14 = 4,762.67/x
  3. Step 3: Cross multiply
    13,532.54x = 20,295.14 × 4,762.67
  4. Step 4: Simplify right side
    13,532.54x = 96,658,929.13
  5. Step 5: Solve for x
    x = 96,658,929.13/13,532.54
  6. Step 6: Final answer
    x = 7,142.71

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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.