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Finding the Fourth Proportional to 23,668.19, 32,662.13 and 13,057.80

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Solution

The fourth proportional to 23,668.19, 32,662.13 and 13,057.80 is: 18,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.19 : 32,662.13 = 13,057.80 : x
  2. Step 2: Convert to fraction form
    23,668.19/32,662.13 = 13,057.80/x
  3. Step 3: Cross multiply
    23,668.19x = 32,662.13 × 13,057.80
  4. Step 4: Simplify right side
    23,668.19x = 426,495,561.11
  5. Step 5: Solve for x
    x = 426,495,561.11/23,668.19
  6. Step 6: Final answer
    x = 18,019.78

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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.