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Finding the Fourth Proportional to 12,809.48, 17,677.62 and 7,503.56

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Solution

The fourth proportional to 12,809.48, 17,677.62 and 7,503.56 is: 10,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.48 : 17,677.62 = 7,503.56 : x
  2. Step 2: Convert to fraction form
    12,809.48/17,677.62 = 7,503.56/x
  3. Step 3: Cross multiply
    12,809.48x = 17,677.62 × 7,503.56
  4. Step 4: Simplify right side
    12,809.48x = 132,645,082.33
  5. Step 5: Solve for x
    x = 132,645,082.33/12,809.48
  6. Step 6: Final answer
    x = 10,355.23

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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.