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Finding the Fourth Proportional to 20,877.84, 28,811.70 and 11,446.38

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Solution

The fourth proportional to 20,877.84, 28,811.70 and 11,446.38 is: 15,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.84 : 28,811.70 = 11,446.38 : x
  2. Step 2: Convert to fraction form
    20,877.84/28,811.70 = 11,446.38/x
  3. Step 3: Cross multiply
    20,877.84x = 28,811.70 × 11,446.38
  4. Step 4: Simplify right side
    20,877.84x = 329,789,666.65
  5. Step 5: Solve for x
    x = 329,789,666.65/20,877.84
  6. Step 6: Final answer
    x = 15,796.16

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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.