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Finding the Fourth Proportional to 12,965.57, 17,892.32 and 7,223.02

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Solution

The fourth proportional to 12,965.57, 17,892.32 and 7,223.02 is: 9,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.57 : 17,892.32 = 7,223.02 : x
  2. Step 2: Convert to fraction form
    12,965.57/17,892.32 = 7,223.02/x
  3. Step 3: Cross multiply
    12,965.57x = 17,892.32 × 7,223.02
  4. Step 4: Simplify right side
    12,965.57x = 129,236,625.32
  5. Step 5: Solve for x
    x = 129,236,625.32/12,965.57
  6. Step 6: Final answer
    x = 9,967.68

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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.