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Finding the Fourth Proportional to 14,087.86, 19,441.24 and 7,800.23

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Solution

The fourth proportional to 14,087.86, 19,441.24 and 7,800.23 is: 10,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.86 : 19,441.24 = 7,800.23 : x
  2. Step 2: Convert to fraction form
    14,087.86/19,441.24 = 7,800.23/x
  3. Step 3: Cross multiply
    14,087.86x = 19,441.24 × 7,800.23
  4. Step 4: Simplify right side
    14,087.86x = 151,646,143.49
  5. Step 5: Solve for x
    x = 151,646,143.49/14,087.86
  6. Step 6: Final answer
    x = 10,764.32

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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.