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Finding the Fourth Proportional to 23,651.14, 32,638.80 and 13,041.16

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Solution

The fourth proportional to 23,651.14, 32,638.80 and 13,041.16 is: 17,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.14 : 32,638.80 = 13,041.16 : x
  2. Step 2: Convert to fraction form
    23,651.14/32,638.80 = 13,041.16/x
  3. Step 3: Cross multiply
    23,651.14x = 32,638.80 × 13,041.16
  4. Step 4: Simplify right side
    23,651.14x = 425,647,813.01
  5. Step 5: Solve for x
    x = 425,647,813.01/23,651.14
  6. Step 6: Final answer
    x = 17,996.93

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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.