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Finding the Fourth Proportional to 17,707.10, 24,436.44 and 9,749.93

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Solution

The fourth proportional to 17,707.10, 24,436.44 and 9,749.93 is: 13,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.10 : 24,436.44 = 9,749.93 : x
  2. Step 2: Convert to fraction form
    17,707.10/24,436.44 = 9,749.93/x
  3. Step 3: Cross multiply
    17,707.10x = 24,436.44 × 9,749.93
  4. Step 4: Simplify right side
    17,707.10x = 238,253,457.27
  5. Step 5: Solve for x
    x = 238,253,457.27/17,707.10
  6. Step 6: Final answer
    x = 13,455.25

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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.