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Finding the Fourth Proportional to 18,498.12, 25,529.64 and 10,542

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Solution

The fourth proportional to 18,498.12, 25,529.64 and 10,542 is: 14,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498.12 : 25,529.64 = 10,542 : x
  2. Step 2: Convert to fraction form
    18,498.12/25,529.64 = 10,542/x
  3. Step 3: Cross multiply
    18,498.12x = 25,529.64 × 10,542
  4. Step 4: Simplify right side
    18,498.12x = 269,133,464.88
  5. Step 5: Solve for x
    x = 269,133,464.88/18,498.12
  6. Step 6: Final answer
    x = 14,549.23

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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.