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Finding the Fourth Proportional to 14,112.14, 19,430.42 and 11,983.19

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Solution

The fourth proportional to 14,112.14, 19,430.42 and 11,983.19 is: 16,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.14 : 19,430.42 = 11,983.19 : x
  2. Step 2: Convert to fraction form
    14,112.14/19,430.42 = 11,983.19/x
  3. Step 3: Cross multiply
    14,112.14x = 19,430.42 × 11,983.19
  4. Step 4: Simplify right side
    14,112.14x = 232,838,257.57
  5. Step 5: Solve for x
    x = 232,838,257.57/14,112.14
  6. Step 6: Final answer
    x = 16,499.15

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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.