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Finding the Fourth Proportional to 23,453.64, 32,364.81 and 12,841.22

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Solution

The fourth proportional to 23,453.64, 32,364.81 and 12,841.22 is: 17,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.64 : 32,364.81 = 12,841.22 : x
  2. Step 2: Convert to fraction form
    23,453.64/32,364.81 = 12,841.22/x
  3. Step 3: Cross multiply
    23,453.64x = 32,364.81 × 12,841.22
  4. Step 4: Simplify right side
    23,453.64x = 415,603,483.64
  5. Step 5: Solve for x
    x = 415,603,483.64/23,453.64
  6. Step 6: Final answer
    x = 17,720.21

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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.