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Finding the Fourth Proportional to 18,000, 24,840 and 10,548

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Solution

The fourth proportional to 18,000, 24,840 and 10,548 is: 14,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000 : 24,840 = 10,548 : x
  2. Step 2: Convert to fraction form
    18,000/24,840 = 10,548/x
  3. Step 3: Cross multiply
    18,000x = 24,840 × 10,548
  4. Step 4: Simplify right side
    18,000x = 262,012,320
  5. Step 5: Solve for x
    x = 262,012,320/18,000
  6. Step 6: Final answer
    x = 14,556.24

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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.