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Finding the Fourth Proportional to 15,847.38, 21,898.30 and 15,078.78

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Solution

The fourth proportional to 15,847.38, 21,898.30 and 15,078.78 is: 20,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.38 : 21,898.30 = 15,078.78 : x
  2. Step 2: Convert to fraction form
    15,847.38/21,898.30 = 15,078.78/x
  3. Step 3: Cross multiply
    15,847.38x = 21,898.30 × 15,078.78
  4. Step 4: Simplify right side
    15,847.38x = 330,199,648.07
  5. Step 5: Solve for x
    x = 330,199,648.07/15,847.38
  6. Step 6: Final answer
    x = 20,836.23

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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.