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Finding the Fourth Proportional to 14,286.90, 19,715.36 and 7,999.14

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Solution

The fourth proportional to 14,286.90, 19,715.36 and 7,999.14 is: 11,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.90 : 19,715.36 = 7,999.14 : x
  2. Step 2: Convert to fraction form
    14,286.90/19,715.36 = 7,999.14/x
  3. Step 3: Cross multiply
    14,286.90x = 19,715.36 × 7,999.14
  4. Step 4: Simplify right side
    14,286.90x = 157,705,884.79
  5. Step 5: Solve for x
    x = 157,705,884.79/14,286.90
  6. Step 6: Final answer
    x = 11,038.50

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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.