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Finding the Fourth Proportional to 17,707.28, 24,436.01 and 9,749.51

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Solution

The fourth proportional to 17,707.28, 24,436.01 and 9,749.51 is: 13,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.28 : 24,436.01 = 9,749.51 : x
  2. Step 2: Convert to fraction form
    17,707.28/24,436.01 = 9,749.51/x
  3. Step 3: Cross multiply
    17,707.28x = 24,436.01 × 9,749.51
  4. Step 4: Simplify right side
    17,707.28x = 238,238,952.93
  5. Step 5: Solve for x
    x = 238,238,952.93/17,707.28
  6. Step 6: Final answer
    x = 13,454.30

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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.