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Finding the Fourth Proportional to 10,520.40, 14,473.44 and 10,228.80

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Solution

The fourth proportional to 10,520.40, 14,473.44 and 10,228.80 is: 14,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.40 : 14,473.44 = 10,228.80 : x
  2. Step 2: Convert to fraction form
    10,520.40/14,473.44 = 10,228.80/x
  3. Step 3: Cross multiply
    10,520.40x = 14,473.44 × 10,228.80
  4. Step 4: Simplify right side
    10,520.40x = 148,045,923.07
  5. Step 5: Solve for x
    x = 148,045,923.07/10,520.40
  6. Step 6: Final answer
    x = 14,072.27

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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.