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Finding the Fourth Proportional to 13,233.69, 18,262.75 and 7,569.36

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Solution

The fourth proportional to 13,233.69, 18,262.75 and 7,569.36 is: 10,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.69 : 18,262.75 = 7,569.36 : x
  2. Step 2: Convert to fraction form
    13,233.69/18,262.75 = 7,569.36/x
  3. Step 3: Cross multiply
    13,233.69x = 18,262.75 × 7,569.36
  4. Step 4: Simplify right side
    13,233.69x = 138,237,393.92
  5. Step 5: Solve for x
    x = 138,237,393.92/13,233.69
  6. Step 6: Final answer
    x = 10,445.87

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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.