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Finding the Fourth Proportional to 23,874.96, 32,948.04 and 13,265.60

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Solution

The fourth proportional to 23,874.96, 32,948.04 and 13,265.60 is: 18,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.96 : 32,948.04 = 13,265.60 : x
  2. Step 2: Convert to fraction form
    23,874.96/32,948.04 = 13,265.60/x
  3. Step 3: Cross multiply
    23,874.96x = 32,948.04 × 13,265.60
  4. Step 4: Simplify right side
    23,874.96x = 437,075,519.42
  5. Step 5: Solve for x
    x = 437,075,519.42/23,874.96
  6. Step 6: Final answer
    x = 18,306.86

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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.