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Finding the Fourth Proportional to 18,880.29, 26,055.09 and 10,382.78

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Solution

The fourth proportional to 18,880.29, 26,055.09 and 10,382.78 is: 14,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,880.29 : 26,055.09 = 10,382.78 : x
  2. Step 2: Convert to fraction form
    18,880.29/26,055.09 = 10,382.78/x
  3. Step 3: Cross multiply
    18,880.29x = 26,055.09 × 10,382.78
  4. Step 4: Simplify right side
    18,880.29x = 270,524,332.49
  5. Step 5: Solve for x
    x = 270,524,332.49/18,880.29
  6. Step 6: Final answer
    x = 14,328.40

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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.