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Finding the Fourth Proportional to 19,208.14, 28,812.14 and 7,513.12

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Solution

The fourth proportional to 19,208.14, 28,812.14 and 7,513.12 is: 11,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208.14 : 28,812.14 = 7,513.12 : x
  2. Step 2: Convert to fraction form
    19,208.14/28,812.14 = 7,513.12/x
  3. Step 3: Cross multiply
    19,208.14x = 28,812.14 × 7,513.12
  4. Step 4: Simplify right side
    19,208.14x = 216,469,065.28
  5. Step 5: Solve for x
    x = 216,469,065.28/19,208.14
  6. Step 6: Final answer
    x = 11,269.65

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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.