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Finding the Fourth Proportional to 34,762.32, 52,147.52 and 12,586.14

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Solution

The fourth proportional to 34,762.32, 52,147.52 and 12,586.14 is: 18,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.32 : 52,147.52 = 12,586.14 : x
  2. Step 2: Convert to fraction form
    34,762.32/52,147.52 = 12,586.14/x
  3. Step 3: Cross multiply
    34,762.32x = 52,147.52 × 12,586.14
  4. Step 4: Simplify right side
    34,762.32x = 656,335,987.37
  5. Step 5: Solve for x
    x = 656,335,987.37/34,762.32
  6. Step 6: Final answer
    x = 18,880.67

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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.