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Finding the Fourth Proportional to 13,894.29, 20,812.23 and 10,143.63

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Solution

The fourth proportional to 13,894.29, 20,812.23 and 10,143.63 is: 15,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.29 : 20,812.23 = 10,143.63 : x
  2. Step 2: Convert to fraction form
    13,894.29/20,812.23 = 10,143.63/x
  3. Step 3: Cross multiply
    13,894.29x = 20,812.23 × 10,143.63
  4. Step 4: Simplify right side
    13,894.29x = 211,111,560.59
  5. Step 5: Solve for x
    x = 211,111,560.59/13,894.29
  6. Step 6: Final answer
    x = 15,194.12

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1.5x scale

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.