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Finding the Fourth Proportional to 18,036, 24,891.84 and 10,584

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Solution

The fourth proportional to 18,036, 24,891.84 and 10,584 is: 14,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036 : 24,891.84 = 10,584 : x
  2. Step 2: Convert to fraction form
    18,036/24,891.84 = 10,584/x
  3. Step 3: Cross multiply
    18,036x = 24,891.84 × 10,584
  4. Step 4: Simplify right side
    18,036x = 263,455,234.56
  5. Step 5: Solve for x
    x = 263,455,234.56/18,036
  6. Step 6: Final answer
    x = 14,607.19

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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.