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Finding the Fourth Proportional to 21,188.04, 29,242 and 11,757.22

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Solution

The fourth proportional to 21,188.04, 29,242 and 11,757.22 is: 16,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.04 : 29,242 = 11,757.22 : x
  2. Step 2: Convert to fraction form
    21,188.04/29,242 = 11,757.22/x
  3. Step 3: Cross multiply
    21,188.04x = 29,242 × 11,757.22
  4. Step 4: Simplify right side
    21,188.04x = 343,804,627.24
  5. Step 5: Solve for x
    x = 343,804,627.24/21,188.04
  6. Step 6: Final answer
    x = 16,226.35

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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.