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Finding the Fourth Proportional to 14,285.32, 19,709.94 and 9,251.08

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Solution

The fourth proportional to 14,285.32, 19,709.94 and 9,251.08 is: 12,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.32 : 19,709.94 = 9,251.08 : x
  2. Step 2: Convert to fraction form
    14,285.32/19,709.94 = 9,251.08/x
  3. Step 3: Cross multiply
    14,285.32x = 19,709.94 × 9,251.08
  4. Step 4: Simplify right side
    14,285.32x = 182,338,231.74
  5. Step 5: Solve for x
    x = 182,338,231.74/14,285.32
  6. Step 6: Final answer
    x = 12,764.03

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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.