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Finding the Fourth Proportional to 18,804.62, 25,949.10 and 10,306.64

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Solution

The fourth proportional to 18,804.62, 25,949.10 and 10,306.64 is: 14,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804.62 : 25,949.10 = 10,306.64 : x
  2. Step 2: Convert to fraction form
    18,804.62/25,949.10 = 10,306.64/x
  3. Step 3: Cross multiply
    18,804.62x = 25,949.10 × 10,306.64
  4. Step 4: Simplify right side
    18,804.62x = 267,448,032.02
  5. Step 5: Solve for x
    x = 267,448,032.02/18,804.62
  6. Step 6: Final answer
    x = 14,222.46

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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.