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Finding the Fourth Proportional to 14,176.86, 21,232.89 and 6,786.51

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Solution

The fourth proportional to 14,176.86, 21,232.89 and 6,786.51 is: 10,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.86 : 21,232.89 = 6,786.51 : x
  2. Step 2: Convert to fraction form
    14,176.86/21,232.89 = 6,786.51/x
  3. Step 3: Cross multiply
    14,176.86x = 21,232.89 × 6,786.51
  4. Step 4: Simplify right side
    14,176.86x = 144,097,220.31
  5. Step 5: Solve for x
    x = 144,097,220.31/14,176.86
  6. Step 6: Final answer
    x = 10,164.26

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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.