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Finding the Fourth Proportional to 23,893.31, 32,969.88 and 13,136.40

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Solution

The fourth proportional to 23,893.31, 32,969.88 and 13,136.40 is: 18,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.31 : 32,969.88 = 13,136.40 : x
  2. Step 2: Convert to fraction form
    23,893.31/32,969.88 = 13,136.40/x
  3. Step 3: Cross multiply
    23,893.31x = 32,969.88 × 13,136.40
  4. Step 4: Simplify right side
    23,893.31x = 433,105,531.63
  5. Step 5: Solve for x
    x = 433,105,531.63/23,893.31
  6. Step 6: Final answer
    x = 18,126.65

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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.