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Finding the Fourth Proportional to 11,529.33, 15,893.73 and 9,929.06

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Solution

The fourth proportional to 11,529.33, 15,893.73 and 9,929.06 is: 13,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.33 : 15,893.73 = 9,929.06 : x
  2. Step 2: Convert to fraction form
    11,529.33/15,893.73 = 9,929.06/x
  3. Step 3: Cross multiply
    11,529.33x = 15,893.73 × 9,929.06
  4. Step 4: Simplify right side
    11,529.33x = 157,809,798.79
  5. Step 5: Solve for x
    x = 157,809,798.79/11,529.33
  6. Step 6: Final answer
    x = 13,687.68

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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.