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Finding the Fourth Proportional to 17,703.28, 24,430.26 and 10,538.20

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Solution

The fourth proportional to 17,703.28, 24,430.26 and 10,538.20 is: 14,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.28 : 24,430.26 = 10,538.20 : x
  2. Step 2: Convert to fraction form
    17,703.28/24,430.26 = 10,538.20/x
  3. Step 3: Cross multiply
    17,703.28x = 24,430.26 × 10,538.20
  4. Step 4: Simplify right side
    17,703.28x = 257,450,965.93
  5. Step 5: Solve for x
    x = 257,450,965.93/17,703.28
  6. Step 6: Final answer
    x = 14,542.56

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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.