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Finding the Fourth Proportional to 12,633.32, 17,433.58 and 6,968.06

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Solution

The fourth proportional to 12,633.32, 17,433.58 and 6,968.06 is: 9,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.32 : 17,433.58 = 6,968.06 : x
  2. Step 2: Convert to fraction form
    12,633.32/17,433.58 = 6,968.06/x
  3. Step 3: Cross multiply
    12,633.32x = 17,433.58 × 6,968.06
  4. Step 4: Simplify right side
    12,633.32x = 121,478,231.45
  5. Step 5: Solve for x
    x = 121,478,231.45/12,633.32
  6. Step 6: Final answer
    x = 9,615.70

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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.