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Finding the Fourth Proportional to 13,214.96, 19,817.56 and 9,264.21

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Solution

The fourth proportional to 13,214.96, 19,817.56 and 9,264.21 is: 13,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.96 : 19,817.56 = 9,264.21 : x
  2. Step 2: Convert to fraction form
    13,214.96/19,817.56 = 9,264.21/x
  3. Step 3: Cross multiply
    13,214.96x = 19,817.56 × 9,264.21
  4. Step 4: Simplify right side
    13,214.96x = 183,593,974.79
  5. Step 5: Solve for x
    x = 183,593,974.79/13,214.96
  6. Step 6: Final answer
    x = 13,892.89

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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.