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Finding the Fourth Proportional to 14,509.09, 21,769.78 and 7,927.58

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Solution

The fourth proportional to 14,509.09, 21,769.78 and 7,927.58 is: 11,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.09 : 21,769.78 = 7,927.58 : x
  2. Step 2: Convert to fraction form
    14,509.09/21,769.78 = 7,927.58/x
  3. Step 3: Cross multiply
    14,509.09x = 21,769.78 × 7,927.58
  4. Step 4: Simplify right side
    14,509.09x = 172,581,692.35
  5. Step 5: Solve for x
    x = 172,581,692.35/14,509.09
  6. Step 6: Final answer
    x = 11,894.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.