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Finding the Fourth Proportional to 12,569.49, 17,343.96 and 7,263.28

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Solution

The fourth proportional to 12,569.49, 17,343.96 and 7,263.28 is: 10,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.49 : 17,343.96 = 7,263.28 : x
  2. Step 2: Convert to fraction form
    12,569.49/17,343.96 = 7,263.28/x
  3. Step 3: Cross multiply
    12,569.49x = 17,343.96 × 7,263.28
  4. Step 4: Simplify right side
    12,569.49x = 125,973,951.07
  5. Step 5: Solve for x
    x = 125,973,951.07/12,569.49
  6. Step 6: Final answer
    x = 10,022.20

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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.