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Finding the Fourth Proportional to 19,814.63, 27,344.18 and 11,431.13

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Solution

The fourth proportional to 19,814.63, 27,344.18 and 11,431.13 is: 15,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.63 : 27,344.18 = 11,431.13 : x
  2. Step 2: Convert to fraction form
    19,814.63/27,344.18 = 11,431.13/x
  3. Step 3: Cross multiply
    19,814.63x = 27,344.18 × 11,431.13
  4. Step 4: Simplify right side
    19,814.63x = 312,574,768.18
  5. Step 5: Solve for x
    x = 312,574,768.18/19,814.63
  6. Step 6: Final answer
    x = 15,774.95

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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.