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Finding the Fourth Proportional to 23,634.32, 32,613.57 and 13,023.99

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Solution

The fourth proportional to 23,634.32, 32,613.57 and 13,023.99 is: 17,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.32 : 32,613.57 = 13,023.99 : x
  2. Step 2: Convert to fraction form
    23,634.32/32,613.57 = 13,023.99/x
  3. Step 3: Cross multiply
    23,634.32x = 32,613.57 × 13,023.99
  4. Step 4: Simplify right side
    23,634.32x = 424,758,809.54
  5. Step 5: Solve for x
    x = 424,758,809.54/23,634.32
  6. Step 6: Final answer
    x = 17,972.12

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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.