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Finding the Fourth Proportional to 17,230.80, 23,777.76 and 10,157.64

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Solution

The fourth proportional to 17,230.80, 23,777.76 and 10,157.64 is: 14,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.80 : 23,777.76 = 10,157.64 : x
  2. Step 2: Convert to fraction form
    17,230.80/23,777.76 = 10,157.64/x
  3. Step 3: Cross multiply
    17,230.80x = 23,777.76 × 10,157.64
  4. Step 4: Simplify right side
    17,230.80x = 241,525,926.09
  5. Step 5: Solve for x
    x = 241,525,926.09/17,230.80
  6. Step 6: Final answer
    x = 14,017.10

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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.