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Finding the Fourth Proportional to 15,133.92, 20,880.91 and 8,418

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Solution

The fourth proportional to 15,133.92, 20,880.91 and 8,418 is: 11,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.92 : 20,880.91 = 8,418 : x
  2. Step 2: Convert to fraction form
    15,133.92/20,880.91 = 8,418/x
  3. Step 3: Cross multiply
    15,133.92x = 20,880.91 × 8,418
  4. Step 4: Simplify right side
    15,133.92x = 175,775,500.38
  5. Step 5: Solve for x
    x = 175,775,500.38/15,133.92
  6. Step 6: Final answer
    x = 11,614.67

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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.