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Finding the Fourth Proportional to 14,811.82, 20,438.33 and 9,513.82

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Solution

The fourth proportional to 14,811.82, 20,438.33 and 9,513.82 is: 13,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.82 : 20,438.33 = 9,513.82 : x
  2. Step 2: Convert to fraction form
    14,811.82/20,438.33 = 9,513.82/x
  3. Step 3: Cross multiply
    14,811.82x = 20,438.33 × 9,513.82
  4. Step 4: Simplify right side
    14,811.82x = 194,446,592.72
  5. Step 5: Solve for x
    x = 194,446,592.72/14,811.82
  6. Step 6: Final answer
    x = 13,127.80

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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.