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Finding the Fourth Proportional to 13,784.47, 19,022.51 and 8,119.17

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Solution

The fourth proportional to 13,784.47, 19,022.51 and 8,119.17 is: 11,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.47 : 19,022.51 = 8,119.17 : x
  2. Step 2: Convert to fraction form
    13,784.47/19,022.51 = 8,119.17/x
  3. Step 3: Cross multiply
    13,784.47x = 19,022.51 × 8,119.17
  4. Step 4: Simplify right side
    13,784.47x = 154,446,992.52
  5. Step 5: Solve for x
    x = 154,446,992.52/13,784.47
  6. Step 6: Final answer
    x = 11,204.42

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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.