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Finding the Fourth Proportional to 15,137.46, 20,887.38 and 8,423.16

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Solution

The fourth proportional to 15,137.46, 20,887.38 and 8,423.16 is: 11,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.46 : 20,887.38 = 8,423.16 : x
  2. Step 2: Convert to fraction form
    15,137.46/20,887.38 = 8,423.16/x
  3. Step 3: Cross multiply
    15,137.46x = 20,887.38 × 8,423.16
  4. Step 4: Simplify right side
    15,137.46x = 175,937,743.72
  5. Step 5: Solve for x
    x = 175,937,743.72/15,137.46
  6. Step 6: Final answer
    x = 11,622.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.