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Finding the Fourth Proportional to 20,455.84, 28,230.08 and 11,506.16

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Solution

The fourth proportional to 20,455.84, 28,230.08 and 11,506.16 is: 15,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.84 : 28,230.08 = 11,506.16 : x
  2. Step 2: Convert to fraction form
    20,455.84/28,230.08 = 11,506.16/x
  3. Step 3: Cross multiply
    20,455.84x = 28,230.08 × 11,506.16
  4. Step 4: Simplify right side
    20,455.84x = 324,819,817.29
  5. Step 5: Solve for x
    x = 324,819,817.29/20,455.84
  6. Step 6: Final answer
    x = 15,879.07

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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.