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Finding the Fourth Proportional to 23,748, 32,769.41 and 13,136.19

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Solution

The fourth proportional to 23,748, 32,769.41 and 13,136.19 is: 18,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 32,769.41 = 13,136.19 : x
  2. Step 2: Convert to fraction form
    23,748/32,769.41 = 13,136.19/x
  3. Step 3: Cross multiply
    23,748x = 32,769.41 × 13,136.19
  4. Step 4: Simplify right side
    23,748x = 430,465,130.27
  5. Step 5: Solve for x
    x = 430,465,130.27/23,748
  6. Step 6: Final answer
    x = 18,126.37

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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.