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Finding the Fourth Proportional to 14,596.06, 20,142.71 and 8,308.84

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Solution

The fourth proportional to 14,596.06, 20,142.71 and 8,308.84 is: 11,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.06 : 20,142.71 = 8,308.84 : x
  2. Step 2: Convert to fraction form
    14,596.06/20,142.71 = 8,308.84/x
  3. Step 3: Cross multiply
    14,596.06x = 20,142.71 × 8,308.84
  4. Step 4: Simplify right side
    14,596.06x = 167,362,412.30
  5. Step 5: Solve for x
    x = 167,362,412.30/14,596.06
  6. Step 6: Final answer
    x = 11,466.28

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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.