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Finding the Fourth Proportional to 12,464.86, 17,202.72 and 9,315.58

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Solution

The fourth proportional to 12,464.86, 17,202.72 and 9,315.58 is: 12,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.86 : 17,202.72 = 9,315.58 : x
  2. Step 2: Convert to fraction form
    12,464.86/17,202.72 = 9,315.58/x
  3. Step 3: Cross multiply
    12,464.86x = 17,202.72 × 9,315.58
  4. Step 4: Simplify right side
    12,464.86x = 160,253,314.38
  5. Step 5: Solve for x
    x = 160,253,314.38/12,464.86
  6. Step 6: Final answer
    x = 12,856.41

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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.