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Finding the Fourth Proportional to 14,250.78, 19,664.73 and 8,282.37

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Solution

The fourth proportional to 14,250.78, 19,664.73 and 8,282.37 is: 11,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250.78 : 19,664.73 = 8,282.37 : x
  2. Step 2: Convert to fraction form
    14,250.78/19,664.73 = 8,282.37/x
  3. Step 3: Cross multiply
    14,250.78x = 19,664.73 × 8,282.37
  4. Step 4: Simplify right side
    14,250.78x = 162,870,569.81
  5. Step 5: Solve for x
    x = 162,870,569.81/14,250.78
  6. Step 6: Final answer
    x = 11,428.89

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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.