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Finding the Fourth Proportional to 14,321.16, 19,767.56 and 9,285.68

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Solution

The fourth proportional to 14,321.16, 19,767.56 and 9,285.68 is: 12,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.16 : 19,767.56 = 9,285.68 : x
  2. Step 2: Convert to fraction form
    14,321.16/19,767.56 = 9,285.68/x
  3. Step 3: Cross multiply
    14,321.16x = 19,767.56 × 9,285.68
  4. Step 4: Simplify right side
    14,321.16x = 183,555,236.54
  5. Step 5: Solve for x
    x = 183,555,236.54/14,321.16
  6. Step 6: Final answer
    x = 12,817.06

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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.