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Finding the Fourth Proportional to 15,464.96, 21,334.56 and 9,175.04

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Solution

The fourth proportional to 15,464.96, 21,334.56 and 9,175.04 is: 12,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464.96 : 21,334.56 = 9,175.04 : x
  2. Step 2: Convert to fraction form
    15,464.96/21,334.56 = 9,175.04/x
  3. Step 3: Cross multiply
    15,464.96x = 21,334.56 × 9,175.04
  4. Step 4: Simplify right side
    15,464.96x = 195,745,441.38
  5. Step 5: Solve for x
    x = 195,745,441.38/15,464.96
  6. Step 6: Final answer
    x = 12,657.35

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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.