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Finding the Fourth Proportional to 12,569.42, 17,343.87 and 7,263.22

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Solution

The fourth proportional to 12,569.42, 17,343.87 and 7,263.22 is: 10,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.42 : 17,343.87 = 7,263.22 : x
  2. Step 2: Convert to fraction form
    12,569.42/17,343.87 = 7,263.22/x
  3. Step 3: Cross multiply
    12,569.42x = 17,343.87 × 7,263.22
  4. Step 4: Simplify right side
    12,569.42x = 125,972,300.10
  5. Step 5: Solve for x
    x = 125,972,300.10/12,569.42
  6. Step 6: Final answer
    x = 10,022.12

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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.