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Finding the Fourth Proportional to 27,898.70, 41,812.43 and 13,074.95

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Solution

The fourth proportional to 27,898.70, 41,812.43 and 13,074.95 is: 19,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.70 : 41,812.43 = 13,074.95 : x
  2. Step 2: Convert to fraction form
    27,898.70/41,812.43 = 13,074.95/x
  3. Step 3: Cross multiply
    27,898.70x = 41,812.43 × 13,074.95
  4. Step 4: Simplify right side
    27,898.70x = 546,695,470.78
  5. Step 5: Solve for x
    x = 546,695,470.78/27,898.70
  6. Step 6: Final answer
    x = 19,595.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.