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Finding the Fourth Proportional to 14,646.89, 20,212.59 and 7,932.36

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Solution

The fourth proportional to 14,646.89, 20,212.59 and 7,932.36 is: 10,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.89 : 20,212.59 = 7,932.36 : x
  2. Step 2: Convert to fraction form
    14,646.89/20,212.59 = 7,932.36/x
  3. Step 3: Cross multiply
    14,646.89x = 20,212.59 × 7,932.36
  4. Step 4: Simplify right side
    14,646.89x = 160,333,540.41
  5. Step 5: Solve for x
    x = 160,333,540.41/14,646.89
  6. Step 6: Final answer
    x = 10,946.59

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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.