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Finding the Fourth Proportional to 14,287.73, 21,409.52 and 7,257.06

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Solution

The fourth proportional to 14,287.73, 21,409.52 and 7,257.06 is: 10,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.73 : 21,409.52 = 7,257.06 : x
  2. Step 2: Convert to fraction form
    14,287.73/21,409.52 = 7,257.06/x
  3. Step 3: Cross multiply
    14,287.73x = 21,409.52 × 7,257.06
  4. Step 4: Simplify right side
    14,287.73x = 155,370,134.93
  5. Step 5: Solve for x
    x = 155,370,134.93/14,287.73
  6. Step 6: Final answer
    x = 10,874.38

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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.