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Finding the Fourth Proportional to 18,730.13, 25,847.64 and 10,346.63

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Solution

The fourth proportional to 18,730.13, 25,847.64 and 10,346.63 is: 14,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,730.13 : 25,847.64 = 10,346.63 : x
  2. Step 2: Convert to fraction form
    18,730.13/25,847.64 = 10,346.63/x
  3. Step 3: Cross multiply
    18,730.13x = 25,847.64 × 10,346.63
  4. Step 4: Simplify right side
    18,730.13x = 267,435,838.22
  5. Step 5: Solve for x
    x = 267,435,838.22/18,730.13
  6. Step 6: Final answer
    x = 14,278.38

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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.