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Finding the Fourth Proportional to 21,408.96, 32,113.71 and 7,548.24

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Solution

The fourth proportional to 21,408.96, 32,113.71 and 7,548.24 is: 11,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.96 : 32,113.71 = 7,548.24 : x
  2. Step 2: Convert to fraction form
    21,408.96/32,113.71 = 7,548.24/x
  3. Step 3: Cross multiply
    21,408.96x = 32,113.71 × 7,548.24
  4. Step 4: Simplify right side
    21,408.96x = 242,401,990.37
  5. Step 5: Solve for x
    x = 242,401,990.37/21,408.96
  6. Step 6: Final answer
    x = 11,322.46

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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.