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Finding the Fourth Proportional to 12,567.62, 17,354.59 and 9,375.38

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Solution

The fourth proportional to 12,567.62, 17,354.59 and 9,375.38 is: 12,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.62 : 17,354.59 = 9,375.38 : x
  2. Step 2: Convert to fraction form
    12,567.62/17,354.59 = 9,375.38/x
  3. Step 3: Cross multiply
    12,567.62x = 17,354.59 × 9,375.38
  4. Step 4: Simplify right side
    12,567.62x = 162,705,781.07
  5. Step 5: Solve for x
    x = 162,705,781.07/12,567.62
  6. Step 6: Final answer
    x = 12,946.42

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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.