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Finding the Fourth Proportional to 14,243.24, 21,364.62 and 5,009

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Solution

The fourth proportional to 14,243.24, 21,364.62 and 5,009 is: 7,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.24 : 21,364.62 = 5,009 : x
  2. Step 2: Convert to fraction form
    14,243.24/21,364.62 = 5,009/x
  3. Step 3: Cross multiply
    14,243.24x = 21,364.62 × 5,009
  4. Step 4: Simplify right side
    14,243.24x = 107,015,381.58
  5. Step 5: Solve for x
    x = 107,015,381.58/14,243.24
  6. Step 6: Final answer
    x = 7,513.42

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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.