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Finding the Fourth Proportional to 18,826.50, 25,981.38 and 10,443

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Solution

The fourth proportional to 18,826.50, 25,981.38 and 10,443 is: 14,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826.50 : 25,981.38 = 10,443 : x
  2. Step 2: Convert to fraction form
    18,826.50/25,981.38 = 10,443/x
  3. Step 3: Cross multiply
    18,826.50x = 25,981.38 × 10,443
  4. Step 4: Simplify right side
    18,826.50x = 271,323,551.34
  5. Step 5: Solve for x
    x = 271,323,551.34/18,826.50
  6. Step 6: Final answer
    x = 14,411.79

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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.