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Finding the Fourth Proportional to 15,577.82, 23,343.09 and 11,420.60

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Solution

The fourth proportional to 15,577.82, 23,343.09 and 11,420.60 is: 17,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.82 : 23,343.09 = 11,420.60 : x
  2. Step 2: Convert to fraction form
    15,577.82/23,343.09 = 11,420.60/x
  3. Step 3: Cross multiply
    15,577.82x = 23,343.09 × 11,420.60
  4. Step 4: Simplify right side
    15,577.82x = 266,591,934.11
  5. Step 5: Solve for x
    x = 266,591,934.11/15,577.82
  6. Step 6: Final answer
    x = 17,113.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.