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Finding the Fourth Proportional to 13,816.88, 20,728.32 and 5,051.76

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Solution

The fourth proportional to 13,816.88, 20,728.32 and 5,051.76 is: 7,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.88 : 20,728.32 = 5,051.76 : x
  2. Step 2: Convert to fraction form
    13,816.88/20,728.32 = 5,051.76/x
  3. Step 3: Cross multiply
    13,816.88x = 20,728.32 × 5,051.76
  4. Step 4: Simplify right side
    13,816.88x = 104,714,497.84
  5. Step 5: Solve for x
    x = 104,714,497.84/13,816.88
  6. Step 6: Final answer
    x = 7,578.74

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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.