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Finding the Fourth Proportional to 15,493.89, 21,381.71 and 8,420.32

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Solution

The fourth proportional to 15,493.89, 21,381.71 and 8,420.32 is: 11,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.89 : 21,381.71 = 8,420.32 : x
  2. Step 2: Convert to fraction form
    15,493.89/21,381.71 = 8,420.32/x
  3. Step 3: Cross multiply
    15,493.89x = 21,381.71 × 8,420.32
  4. Step 4: Simplify right side
    15,493.89x = 180,040,840.35
  5. Step 5: Solve for x
    x = 180,040,840.35/15,493.89
  6. Step 6: Final answer
    x = 11,620.12

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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.