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Finding the Fourth Proportional to 23,778.80, 32,814.76 and 13,168.20

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Solution

The fourth proportional to 23,778.80, 32,814.76 and 13,168.20 is: 18,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.80 : 32,814.76 = 13,168.20 : x
  2. Step 2: Convert to fraction form
    23,778.80/32,814.76 = 13,168.20/x
  3. Step 3: Cross multiply
    23,778.80x = 32,814.76 × 13,168.20
  4. Step 4: Simplify right side
    23,778.80x = 432,111,322.63
  5. Step 5: Solve for x
    x = 432,111,322.63/23,778.80
  6. Step 6: Final answer
    x = 18,172.12

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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.