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Finding the Fourth Proportional to 20,505.38, 28,289.32 and 12,948.89

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Solution

The fourth proportional to 20,505.38, 28,289.32 and 12,948.89 is: 17,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.38 : 28,289.32 = 12,948.89 : x
  2. Step 2: Convert to fraction form
    20,505.38/28,289.32 = 12,948.89/x
  3. Step 3: Cross multiply
    20,505.38x = 28,289.32 × 12,948.89
  4. Step 4: Simplify right side
    20,505.38x = 366,315,119.04
  5. Step 5: Solve for x
    x = 366,315,119.04/20,505.38
  6. Step 6: Final answer
    x = 17,864.35

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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.