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Finding the Fourth Proportional to 18,729.16, 25,844.94 and 10,345

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Solution

The fourth proportional to 18,729.16, 25,844.94 and 10,345 is: 14,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,729.16 : 25,844.94 = 10,345 : x
  2. Step 2: Convert to fraction form
    18,729.16/25,844.94 = 10,345/x
  3. Step 3: Cross multiply
    18,729.16x = 25,844.94 × 10,345
  4. Step 4: Simplify right side
    18,729.16x = 267,365,904.30
  5. Step 5: Solve for x
    x = 267,365,904.30/18,729.16
  6. Step 6: Final answer
    x = 14,275.38

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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.