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Finding the Fourth Proportional to 19,429.92, 29,144.88 and 9,036

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Solution

The fourth proportional to 19,429.92, 29,144.88 and 9,036 is: 13,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.92 : 29,144.88 = 9,036 : x
  2. Step 2: Convert to fraction form
    19,429.92/29,144.88 = 9,036/x
  3. Step 3: Cross multiply
    19,429.92x = 29,144.88 × 9,036
  4. Step 4: Simplify right side
    19,429.92x = 263,353,135.68
  5. Step 5: Solve for x
    x = 263,353,135.68/19,429.92
  6. Step 6: Final answer
    x = 13,554.00

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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.