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Finding the Fourth Proportional to 13,816.56, 20,718.74 and 5,051.54

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Solution

The fourth proportional to 13,816.56, 20,718.74 and 5,051.54 is: 7,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.56 : 20,718.74 = 5,051.54 : x
  2. Step 2: Convert to fraction form
    13,816.56/20,718.74 = 5,051.54/x
  3. Step 3: Cross multiply
    13,816.56x = 20,718.74 × 5,051.54
  4. Step 4: Simplify right side
    13,816.56x = 104,661,543.86
  5. Step 5: Solve for x
    x = 104,661,543.86/13,816.56
  6. Step 6: Final answer
    x = 7,575.08

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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.