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Finding the Fourth Proportional to 19,709.12, 29,569.08 and 9,836.48

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Solution

The fourth proportional to 19,709.12, 29,569.08 and 9,836.48 is: 14,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.12 : 29,569.08 = 9,836.48 : x
  2. Step 2: Convert to fraction form
    19,709.12/29,569.08 = 9,836.48/x
  3. Step 3: Cross multiply
    19,709.12x = 29,569.08 × 9,836.48
  4. Step 4: Simplify right side
    19,709.12x = 290,855,664.04
  5. Step 5: Solve for x
    x = 290,855,664.04/19,709.12
  6. Step 6: Final answer
    x = 14,757.42

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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.