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Finding the Fourth Proportional to 18,811.50, 25,960.14 and 10,428

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Solution

The fourth proportional to 18,811.50, 25,960.14 and 10,428 is: 14,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,811.50 : 25,960.14 = 10,428 : x
  2. Step 2: Convert to fraction form
    18,811.50/25,960.14 = 10,428/x
  3. Step 3: Cross multiply
    18,811.50x = 25,960.14 × 10,428
  4. Step 4: Simplify right side
    18,811.50x = 270,712,339.92
  5. Step 5: Solve for x
    x = 270,712,339.92/18,811.50
  6. Step 6: Final answer
    x = 14,390.79

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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.