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Finding the Fourth Proportional to 14,106.96, 19,467.63 and 8,801.82

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Solution

The fourth proportional to 14,106.96, 19,467.63 and 8,801.82 is: 12,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.96 : 19,467.63 = 8,801.82 : x
  2. Step 2: Convert to fraction form
    14,106.96/19,467.63 = 8,801.82/x
  3. Step 3: Cross multiply
    14,106.96x = 19,467.63 × 8,801.82
  4. Step 4: Simplify right side
    14,106.96x = 171,350,575.09
  5. Step 5: Solve for x
    x = 171,350,575.09/14,106.96
  6. Step 6: Final answer
    x = 12,146.53

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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.