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Finding the Fourth Proportional to 18,382, 25,367.16 and 9,998.68

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Solution

The fourth proportional to 18,382, 25,367.16 and 9,998.68 is: 13,798.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382 : 25,367.16 = 9,998.68 : x
  2. Step 2: Convert to fraction form
    18,382/25,367.16 = 9,998.68/x
  3. Step 3: Cross multiply
    18,382x = 25,367.16 × 9,998.68
  4. Step 4: Simplify right side
    18,382x = 253,638,115.35
  5. Step 5: Solve for x
    x = 253,638,115.35/18,382
  6. Step 6: Final answer
    x = 13,798.18

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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.