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Finding the Fourth Proportional to 14,407.54, 19,884.34 and 8,441.58

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Solution

The fourth proportional to 14,407.54, 19,884.34 and 8,441.58 is: 11,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.54 : 19,884.34 = 8,441.58 : x
  2. Step 2: Convert to fraction form
    14,407.54/19,884.34 = 8,441.58/x
  3. Step 3: Cross multiply
    14,407.54x = 19,884.34 × 8,441.58
  4. Step 4: Simplify right side
    14,407.54x = 167,855,331.98
  5. Step 5: Solve for x
    x = 167,855,331.98/14,407.54
  6. Step 6: Final answer
    x = 11,650.52

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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.