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Finding the Fourth Proportional to 10,415.44, 14,472.94 and 10,308.88

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Solution

The fourth proportional to 10,415.44, 14,472.94 and 10,308.88 is: 14,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.44 : 14,472.94 = 10,308.88 : x
  2. Step 2: Convert to fraction form
    10,415.44/14,472.94 = 10,308.88/x
  3. Step 3: Cross multiply
    10,415.44x = 14,472.94 × 10,308.88
  4. Step 4: Simplify right side
    10,415.44x = 149,199,801.71
  5. Step 5: Solve for x
    x = 149,199,801.71/10,415.44
  6. Step 6: Final answer
    x = 14,324.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.