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Finding the Fourth Proportional to 12,435.42, 17,160.84 and 6,846.42

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Solution

The fourth proportional to 12,435.42, 17,160.84 and 6,846.42 is: 9,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.42 : 17,160.84 = 6,846.42 : x
  2. Step 2: Convert to fraction form
    12,435.42/17,160.84 = 6,846.42/x
  3. Step 3: Cross multiply
    12,435.42x = 17,160.84 × 6,846.42
  4. Step 4: Simplify right side
    12,435.42x = 117,490,318.19
  5. Step 5: Solve for x
    x = 117,490,318.19/12,435.42
  6. Step 6: Final answer
    x = 9,448.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.