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Finding the Fourth Proportional to 17,707.07, 24,435.57 and 9,749.14

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Solution

The fourth proportional to 17,707.07, 24,435.57 and 9,749.14 is: 13,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.07 : 24,435.57 = 9,749.14 : x
  2. Step 2: Convert to fraction form
    17,707.07/24,435.57 = 9,749.14/x
  3. Step 3: Cross multiply
    17,707.07x = 24,435.57 × 9,749.14
  4. Step 4: Simplify right side
    17,707.07x = 238,225,792.91
  5. Step 5: Solve for x
    x = 238,225,792.91/17,707.07
  6. Step 6: Final answer
    x = 13,453.71

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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.