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Finding the Fourth Proportional to 23,632.76, 32,613.90 and 13,023.08

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Solution

The fourth proportional to 23,632.76, 32,613.90 and 13,023.08 is: 17,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.76 : 32,613.90 = 13,023.08 : x
  2. Step 2: Convert to fraction form
    23,632.76/32,613.90 = 13,023.08/x
  3. Step 3: Cross multiply
    23,632.76x = 32,613.90 × 13,023.08
  4. Step 4: Simplify right side
    23,632.76x = 424,733,314.58
  5. Step 5: Solve for x
    x = 424,733,314.58/23,632.76
  6. Step 6: Final answer
    x = 17,972.23

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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.