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Finding the Fourth Proportional to 11,482.62, 17,182.89 and 9,000.38

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Solution

The fourth proportional to 11,482.62, 17,182.89 and 9,000.38 is: 13,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.62 : 17,182.89 = 9,000.38 : x
  2. Step 2: Convert to fraction form
    11,482.62/17,182.89 = 9,000.38/x
  3. Step 3: Cross multiply
    11,482.62x = 17,182.89 × 9,000.38
  4. Step 4: Simplify right side
    11,482.62x = 154,652,539.50
  5. Step 5: Solve for x
    x = 154,652,539.50/11,482.62
  6. Step 6: Final answer
    x = 13,468.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.