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Finding the Fourth Proportional to 25,563.34, 38,351.16 and 8,033.16

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Solution

The fourth proportional to 25,563.34, 38,351.16 and 8,033.16 is: 12,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.34 : 38,351.16 = 8,033.16 : x
  2. Step 2: Convert to fraction form
    25,563.34/38,351.16 = 8,033.16/x
  3. Step 3: Cross multiply
    25,563.34x = 38,351.16 × 8,033.16
  4. Step 4: Simplify right side
    25,563.34x = 308,081,004.47
  5. Step 5: Solve for x
    x = 308,081,004.47/25,563.34
  6. Step 6: Final answer
    x = 12,051.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.