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Finding the Fourth Proportional to 14,351.14, 19,805.16 and 8,063.50

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Solution

The fourth proportional to 14,351.14, 19,805.16 and 8,063.50 is: 11,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.14 : 19,805.16 = 8,063.50 : x
  2. Step 2: Convert to fraction form
    14,351.14/19,805.16 = 8,063.50/x
  3. Step 3: Cross multiply
    14,351.14x = 19,805.16 × 8,063.50
  4. Step 4: Simplify right side
    14,351.14x = 159,698,907.66
  5. Step 5: Solve for x
    x = 159,698,907.66/14,351.14
  6. Step 6: Final answer
    x = 11,127.96

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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.