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Finding the Fourth Proportional to 20,820.69, 28,732.95 and 11,389.45

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Solution

The fourth proportional to 20,820.69, 28,732.95 and 11,389.45 is: 15,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.69 : 28,732.95 = 11,389.45 : x
  2. Step 2: Convert to fraction form
    20,820.69/28,732.95 = 11,389.45/x
  3. Step 3: Cross multiply
    20,820.69x = 28,732.95 × 11,389.45
  4. Step 4: Simplify right side
    20,820.69x = 327,252,497.38
  5. Step 5: Solve for x
    x = 327,252,497.38/20,820.69
  6. Step 6: Final answer
    x = 15,717.66

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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.