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Finding the Fourth Proportional to 17,830.08, 24,606 and 9,872.64

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Solution

The fourth proportional to 17,830.08, 24,606 and 9,872.64 is: 13,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.08 : 24,606 = 9,872.64 : x
  2. Step 2: Convert to fraction form
    17,830.08/24,606 = 9,872.64/x
  3. Step 3: Cross multiply
    17,830.08x = 24,606 × 9,872.64
  4. Step 4: Simplify right side
    17,830.08x = 242,926,179.84
  5. Step 5: Solve for x
    x = 242,926,179.84/17,830.08
  6. Step 6: Final answer
    x = 13,624.51

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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.