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Finding the Fourth Proportional to 14,414.51, 21,624.04 and 3,884.94

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Solution

The fourth proportional to 14,414.51, 21,624.04 and 3,884.94 is: 5,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.51 : 21,624.04 = 3,884.94 : x
  2. Step 2: Convert to fraction form
    14,414.51/21,624.04 = 3,884.94/x
  3. Step 3: Cross multiply
    14,414.51x = 21,624.04 × 3,884.94
  4. Step 4: Simplify right side
    14,414.51x = 84,008,088.25
  5. Step 5: Solve for x
    x = 84,008,088.25/14,414.51
  6. Step 6: Final answer
    x = 5,828.02

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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.