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Finding the Fourth Proportional to 14,407.41, 19,884.17 and 8,441.45

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Solution

The fourth proportional to 14,407.41, 19,884.17 and 8,441.45 is: 11,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.41 : 19,884.17 = 8,441.45 : x
  2. Step 2: Convert to fraction form
    14,407.41/19,884.17 = 8,441.45/x
  3. Step 3: Cross multiply
    14,407.41x = 19,884.17 × 8,441.45
  4. Step 4: Simplify right side
    14,407.41x = 167,851,226.85
  5. Step 5: Solve for x
    x = 167,851,226.85/14,407.41
  6. Step 6: Final answer
    x = 11,650.34

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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.