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Finding the Fourth Proportional to 20,584.83, 28,407.18 and 11,153.40

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Solution

The fourth proportional to 20,584.83, 28,407.18 and 11,153.40 is: 15,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.83 : 28,407.18 = 11,153.40 : x
  2. Step 2: Convert to fraction form
    20,584.83/28,407.18 = 11,153.40/x
  3. Step 3: Cross multiply
    20,584.83x = 28,407.18 × 11,153.40
  4. Step 4: Simplify right side
    20,584.83x = 316,836,499.38
  5. Step 5: Solve for x
    x = 316,836,499.38/20,584.83
  6. Step 6: Final answer
    x = 15,391.75

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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.