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Finding the Fourth Proportional to 21,447.53, 32,175.59 and 7,408.07

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Solution

The fourth proportional to 21,447.53, 32,175.59 and 7,408.07 is: 11,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.53 : 32,175.59 = 7,408.07 : x
  2. Step 2: Convert to fraction form
    21,447.53/32,175.59 = 7,408.07/x
  3. Step 3: Cross multiply
    21,447.53x = 32,175.59 × 7,408.07
  4. Step 4: Simplify right side
    21,447.53x = 238,358,945.75
  5. Step 5: Solve for x
    x = 238,358,945.75/21,447.53
  6. Step 6: Final answer
    x = 11,113.59

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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.