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Finding the Fourth Proportional to 19,767.72, 29,653.16 and 5,727.96

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Solution

The fourth proportional to 19,767.72, 29,653.16 and 5,727.96 is: 8,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.72 : 29,653.16 = 5,727.96 : x
  2. Step 2: Convert to fraction form
    19,767.72/29,653.16 = 5,727.96/x
  3. Step 3: Cross multiply
    19,767.72x = 29,653.16 × 5,727.96
  4. Step 4: Simplify right side
    19,767.72x = 169,852,114.35
  5. Step 5: Solve for x
    x = 169,852,114.35/19,767.72
  6. Step 6: Final answer
    x = 8,592.40

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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.