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Finding the Fourth Proportional to 17,783.65, 24,543.81 and 10,229.79

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Solution

The fourth proportional to 17,783.65, 24,543.81 and 10,229.79 is: 14,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.65 : 24,543.81 = 10,229.79 : x
  2. Step 2: Convert to fraction form
    17,783.65/24,543.81 = 10,229.79/x
  3. Step 3: Cross multiply
    17,783.65x = 24,543.81 × 10,229.79
  4. Step 4: Simplify right side
    17,783.65x = 251,078,114.14
  5. Step 5: Solve for x
    x = 251,078,114.14/17,783.65
  6. Step 6: Final answer
    x = 14,118.48

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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.