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Finding the Fourth Proportional to 12,965.49, 17,892.16 and 7,300.22

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Solution

The fourth proportional to 12,965.49, 17,892.16 and 7,300.22 is: 10,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.49 : 17,892.16 = 7,300.22 : x
  2. Step 2: Convert to fraction form
    12,965.49/17,892.16 = 7,300.22/x
  3. Step 3: Cross multiply
    12,965.49x = 17,892.16 × 7,300.22
  4. Step 4: Simplify right side
    12,965.49x = 130,616,704.28
  5. Step 5: Solve for x
    x = 130,616,704.28/12,965.49
  6. Step 6: Final answer
    x = 10,074.18

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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.