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Finding the Fourth Proportional to 17,707.89, 24,436.56 and 9,749.94

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Solution

The fourth proportional to 17,707.89, 24,436.56 and 9,749.94 is: 13,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.89 : 24,436.56 = 9,749.94 : x
  2. Step 2: Convert to fraction form
    17,707.89/24,436.56 = 9,749.94/x
  3. Step 3: Cross multiply
    17,707.89x = 24,436.56 × 9,749.94
  4. Step 4: Simplify right side
    17,707.89x = 238,254,993.81
  5. Step 5: Solve for x
    x = 238,254,993.81/17,707.89
  6. Step 6: Final answer
    x = 13,454.74

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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.