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Finding the Fourth Proportional to 15,577.40, 21,496.76 and 8,503.84

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Solution

The fourth proportional to 15,577.40, 21,496.76 and 8,503.84 is: 11,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.40 : 21,496.76 = 8,503.84 : x
  2. Step 2: Convert to fraction form
    15,577.40/21,496.76 = 8,503.84/x
  3. Step 3: Cross multiply
    15,577.40x = 21,496.76 × 8,503.84
  4. Step 4: Simplify right side
    15,577.40x = 182,805,007.56
  5. Step 5: Solve for x
    x = 182,805,007.56/15,577.40
  6. Step 6: Final answer
    x = 11,735.27

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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.