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Finding the Fourth Proportional to 16,515.65, 22,760.13 and 16,212

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Solution

The fourth proportional to 16,515.65, 22,760.13 and 16,212 is: 22,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.65 : 22,760.13 = 16,212 : x
  2. Step 2: Convert to fraction form
    16,515.65/22,760.13 = 16,212/x
  3. Step 3: Cross multiply
    16,515.65x = 22,760.13 × 16,212
  4. Step 4: Simplify right side
    16,515.65x = 368,987,227.56
  5. Step 5: Solve for x
    x = 368,987,227.56/16,515.65
  6. Step 6: Final answer
    x = 22,341.67

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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.