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Finding the Fourth Proportional to 18,114.25, 24,997.74 and 10,565.80

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Solution

The fourth proportional to 18,114.25, 24,997.74 and 10,565.80 is: 14,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.25 : 24,997.74 = 10,565.80 : x
  2. Step 2: Convert to fraction form
    18,114.25/24,997.74 = 10,565.80/x
  3. Step 3: Cross multiply
    18,114.25x = 24,997.74 × 10,565.80
  4. Step 4: Simplify right side
    18,114.25x = 264,121,121.29
  5. Step 5: Solve for x
    x = 264,121,121.29/18,114.25
  6. Step 6: Final answer
    x = 14,580.85

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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.