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Finding the Fourth Proportional to 14,162.24, 21,214.40 and 6,744.24

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Solution

The fourth proportional to 14,162.24, 21,214.40 and 6,744.24 is: 10,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.24 : 21,214.40 = 6,744.24 : x
  2. Step 2: Convert to fraction form
    14,162.24/21,214.40 = 6,744.24/x
  3. Step 3: Cross multiply
    14,162.24x = 21,214.40 × 6,744.24
  4. Step 4: Simplify right side
    14,162.24x = 143,075,005.06
  5. Step 5: Solve for x
    x = 143,075,005.06/14,162.24
  6. Step 6: Final answer
    x = 10,102.57

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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.