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Finding the Fourth Proportional to 13,852.02, 20,776.06 and 7,909.62

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Solution

The fourth proportional to 13,852.02, 20,776.06 and 7,909.62 is: 11,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.02 : 20,776.06 = 7,909.62 : x
  2. Step 2: Convert to fraction form
    13,852.02/20,776.06 = 7,909.62/x
  3. Step 3: Cross multiply
    13,852.02x = 20,776.06 × 7,909.62
  4. Step 4: Simplify right side
    13,852.02x = 164,330,739.70
  5. Step 5: Solve for x
    x = 164,330,739.70/13,852.02
  6. Step 6: Final answer
    x = 11,863.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.