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Finding the Fourth Proportional to 14,338.86, 21,507.65 and 7,318.68

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Solution

The fourth proportional to 14,338.86, 21,507.65 and 7,318.68 is: 10,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.86 : 21,507.65 = 7,318.68 : x
  2. Step 2: Convert to fraction form
    14,338.86/21,507.65 = 7,318.68/x
  3. Step 3: Cross multiply
    14,338.86x = 21,507.65 × 7,318.68
  4. Step 4: Simplify right side
    14,338.86x = 157,407,571.31
  5. Step 5: Solve for x
    x = 157,407,571.31/14,338.86
  6. Step 6: Final answer
    x = 10,977.69

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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.