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Finding the Fourth Proportional to 14,287.86, 19,715.40 and 8,000.24

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Solution

The fourth proportional to 14,287.86, 19,715.40 and 8,000.24 is: 11,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.86 : 19,715.40 = 8,000.24 : x
  2. Step 2: Convert to fraction form
    14,287.86/19,715.40 = 8,000.24/x
  3. Step 3: Cross multiply
    14,287.86x = 19,715.40 × 8,000.24
  4. Step 4: Simplify right side
    14,287.86x = 157,727,833.12
  5. Step 5: Solve for x
    x = 157,727,833.12/14,287.86
  6. Step 6: Final answer
    x = 11,039.29

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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.