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Finding the Fourth Proportional to 13,214.66, 19,809.29 and 4,892.42

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Solution

The fourth proportional to 13,214.66, 19,809.29 and 4,892.42 is: 7,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.66 : 19,809.29 = 4,892.42 : x
  2. Step 2: Convert to fraction form
    13,214.66/19,809.29 = 4,892.42/x
  3. Step 3: Cross multiply
    13,214.66x = 19,809.29 × 4,892.42
  4. Step 4: Simplify right side
    13,214.66x = 96,915,243.07
  5. Step 5: Solve for x
    x = 96,915,243.07/13,214.66
  6. Step 6: Final answer
    x = 7,333.92

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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.