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Finding the Fourth Proportional to 14,150.98, 19,528.50 and 7,778.14

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Solution

The fourth proportional to 14,150.98, 19,528.50 and 7,778.14 is: 10,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.98 : 19,528.50 = 7,778.14 : x
  2. Step 2: Convert to fraction form
    14,150.98/19,528.50 = 7,778.14/x
  3. Step 3: Cross multiply
    14,150.98x = 19,528.50 × 7,778.14
  4. Step 4: Simplify right side
    14,150.98x = 151,895,406.99
  5. Step 5: Solve for x
    x = 151,895,406.99/14,150.98
  6. Step 6: Final answer
    x = 10,733.91

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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.