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Finding the Fourth Proportional to 14,674.14, 20,266.71 and 9,950.22

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Solution

The fourth proportional to 14,674.14, 20,266.71 and 9,950.22 is: 13,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.14 : 20,266.71 = 9,950.22 : x
  2. Step 2: Convert to fraction form
    14,674.14/20,266.71 = 9,950.22/x
  3. Step 3: Cross multiply
    14,674.14x = 20,266.71 × 9,950.22
  4. Step 4: Simplify right side
    14,674.14x = 201,658,223.18
  5. Step 5: Solve for x
    x = 201,658,223.18/14,674.14
  6. Step 6: Final answer
    x = 13,742.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.