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Finding the Fourth Proportional to 18,640, 25,723.28 and 10,256.64

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Solution

The fourth proportional to 18,640, 25,723.28 and 10,256.64 is: 14,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 25,723.28 = 10,256.64 : x
  2. Step 2: Convert to fraction form
    18,640/25,723.28 = 10,256.64/x
  3. Step 3: Cross multiply
    18,640x = 25,723.28 × 10,256.64
  4. Step 4: Simplify right side
    18,640x = 263,834,422.58
  5. Step 5: Solve for x
    x = 263,834,422.58/18,640
  6. Step 6: Final answer
    x = 14,154.21

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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.