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Finding the Fourth Proportional to 14,637.85, 20,200.50 and 8,265.71

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Solution

The fourth proportional to 14,637.85, 20,200.50 and 8,265.71 is: 11,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.85 : 20,200.50 = 8,265.71 : x
  2. Step 2: Convert to fraction form
    14,637.85/20,200.50 = 8,265.71/x
  3. Step 3: Cross multiply
    14,637.85x = 20,200.50 × 8,265.71
  4. Step 4: Simplify right side
    14,637.85x = 166,971,525.36
  5. Step 5: Solve for x
    x = 166,971,525.36/14,637.85
  6. Step 6: Final answer
    x = 11,406.84

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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.