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Finding the Fourth Proportional to 10,441.76, 14,329.74 and 10,367.96

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Solution

The fourth proportional to 10,441.76, 14,329.74 and 10,367.96 is: 14,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.76 : 14,329.74 = 10,367.96 : x
  2. Step 2: Convert to fraction form
    10,441.76/14,329.74 = 10,367.96/x
  3. Step 3: Cross multiply
    10,441.76x = 14,329.74 × 10,367.96
  4. Step 4: Simplify right side
    10,441.76x = 148,570,099.48
  5. Step 5: Solve for x
    x = 148,570,099.48/10,441.76
  6. Step 6: Final answer
    x = 14,228.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.