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Finding the Fourth Proportional to 13,816.71, 20,727.63 and 5,051.16

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Solution

The fourth proportional to 13,816.71, 20,727.63 and 5,051.16 is: 7,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.71 : 20,727.63 = 5,051.16 : x
  2. Step 2: Convert to fraction form
    13,816.71/20,727.63 = 5,051.16/x
  3. Step 3: Cross multiply
    13,816.71x = 20,727.63 × 5,051.16
  4. Step 4: Simplify right side
    13,816.71x = 104,698,575.55
  5. Step 5: Solve for x
    x = 104,698,575.55/13,816.71
  6. Step 6: Final answer
    x = 7,577.68

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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.