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Finding the Fourth Proportional to 14,173.86, 21,228.39 and 6,783.51

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Solution

The fourth proportional to 14,173.86, 21,228.39 and 6,783.51 is: 10,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.86 : 21,228.39 = 6,783.51 : x
  2. Step 2: Convert to fraction form
    14,173.86/21,228.39 = 6,783.51/x
  3. Step 3: Cross multiply
    14,173.86x = 21,228.39 × 6,783.51
  4. Step 4: Simplify right side
    14,173.86x = 144,002,995.85
  5. Step 5: Solve for x
    x = 144,002,995.85/14,173.86
  6. Step 6: Final answer
    x = 10,159.76

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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.