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Finding the Fourth Proportional to 11,663.29, 17,502.14 and 9,277.23

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Solution

The fourth proportional to 11,663.29, 17,502.14 and 9,277.23 is: 13,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.29 : 17,502.14 = 9,277.23 : x
  2. Step 2: Convert to fraction form
    11,663.29/17,502.14 = 9,277.23/x
  3. Step 3: Cross multiply
    11,663.29x = 17,502.14 × 9,277.23
  4. Step 4: Simplify right side
    11,663.29x = 162,371,467.10
  5. Step 5: Solve for x
    x = 162,371,467.10/11,663.29
  6. Step 6: Final answer
    x = 13,921.58

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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.