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Finding the Fourth Proportional to 11,828.49, 17,707.29 and 11,407.91

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Solution

The fourth proportional to 11,828.49, 17,707.29 and 11,407.91 is: 17,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.49 : 17,707.29 = 11,407.91 : x
  2. Step 2: Convert to fraction form
    11,828.49/17,707.29 = 11,407.91/x
  3. Step 3: Cross multiply
    11,828.49x = 17,707.29 × 11,407.91
  4. Step 4: Simplify right side
    11,828.49x = 202,003,170.66
  5. Step 5: Solve for x
    x = 202,003,170.66/11,828.49
  6. Step 6: Final answer
    x = 17,077.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.