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Finding the Fourth Proportional to 12,435.12, 17,160.66 and 6,846.12

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Solution

The fourth proportional to 12,435.12, 17,160.66 and 6,846.12 is: 9,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.12 : 17,160.66 = 6,846.12 : x
  2. Step 2: Convert to fraction form
    12,435.12/17,160.66 = 6,846.12/x
  3. Step 3: Cross multiply
    12,435.12x = 17,160.66 × 6,846.12
  4. Step 4: Simplify right side
    12,435.12x = 117,483,937.64
  5. Step 5: Solve for x
    x = 117,483,937.64/12,435.12
  6. Step 6: Final answer
    x = 9,447.75

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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.