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Finding the Fourth Proportional to 13,301.42, 19,955.04 and 3,942.17

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Solution

The fourth proportional to 13,301.42, 19,955.04 and 3,942.17 is: 5,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.42 : 19,955.04 = 3,942.17 : x
  2. Step 2: Convert to fraction form
    13,301.42/19,955.04 = 3,942.17/x
  3. Step 3: Cross multiply
    13,301.42x = 19,955.04 × 3,942.17
  4. Step 4: Simplify right side
    13,301.42x = 78,666,160.04
  5. Step 5: Solve for x
    x = 78,666,160.04/13,301.42
  6. Step 6: Final answer
    x = 5,914.12

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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.